Deck 4: Section 7: Integration

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Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the solution of the differential equation <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> which passes through the point <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use integration to find the particular solution of the differential equation <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> which passes through the point <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   given   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the definite integral <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the solution of the differential equation <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> which passes through the point <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the definite integral. <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral of <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose a population of bacteria is changing at a rate of <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.

A) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the region bounded by the graphs of the equations <strong>Find the area of the region bounded by the graphs of the equations   Round your answer to four decimal places.</strong> A) 7.2189 B) 7.5835 C) 8.2189 D) 8.5835 E) 8.8283 <div style=padding-top: 35px> Round your answer to four decimal places.

A) 7.2189
B) 7.5835
C) 8.2189
D) 8.5835
E) 8.8283
Question
The rate of change in sales S is inversely proportional to time <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.

A) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the time required for an object to cool from <strong>Find the time required for an object to cool from   by evaluating   , where t is time in minutes. Round your answer to four decimal places.</strong> A) 6.4346 minutes B) 4.4251 minutes C) 3.6907 minutes D) 4.0598 minutes E) 5.8496 minutes <div style=padding-top: 35px> by evaluating <strong>Find the time required for an object to cool from   by evaluating   , where t is time in minutes. Round your answer to four decimal places.</strong> A) 6.4346 minutes B) 4.4251 minutes C) 3.6907 minutes D) 4.0598 minutes E) 5.8496 minutes <div style=padding-top: 35px> , where t is time in minutes. Round your answer to four decimal places.

A) 6.4346 minutes
B) 4.4251 minutes
C) 3.6907 minutes
D) 4.0598 minutes
E) 5.8496 minutes
Question
Suppose the demand equation for a product is <strong>Suppose the demand equation for a product is   Find the average price p on the interval   . Round your answer to the nearest dollar.</strong> A) $67 B) $83 C) $57 D) $565 E) $52 <div style=padding-top: 35px> Find the average price p on the interval <strong>Suppose the demand equation for a product is   Find the average price p on the interval   . Round your answer to the nearest dollar.</strong> A) $67 B) $83 C) $57 D) $565 E) $52 <div style=padding-top: 35px> . Round your answer to the nearest dollar.

A) $67
B) $83
C) $57
D) $565
E) $52
Question
Suppose a population of bacteria is changing at a rate of <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer.</strong> A) 12,783 B) 11,525 C) 13,533 D) 10,772 E) 11,522 <div style=padding-top: 35px> where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer.</strong> A) 12,783 B) 11,525 C) 13,533 D) 10,772 E) 11,522 <div style=padding-top: 35px> days. Round your answer to the nearest integer.

A) 12,783
B) 11,525
C) 13,533
D) 10,772
E) 11,522
Question
Find the area of the region given below bounded by the graph of <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 4: Section 7: Integration
1
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
2
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
3
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
4
Find the solution of the differential equation <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   which passes through the point <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
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5
Use integration to find the particular solution of the differential equation <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   which passes through the point <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find the particular solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
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6
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate   .</strong> A)   B)   C)   D)   E)
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7
Find <strong>Find   given   .</strong> A)   B)   C)   D)   E)   given <strong>Find   given   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   given   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   given   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   given   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   given   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   given   .</strong> A)   B)   C)   D)   E)
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8
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
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9
Find the indefinite integral. <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.   .</strong> A)   B)   C)   D)   E)
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10
Evaluate the definite integral <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the definite integral   .</strong> A)   B)   C)   D)   E)
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11
Find the solution of the differential equation <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   which passes through the point <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the solution of the differential equation   which passes through the point   .</strong> A)   B)   C)   D)   E)
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12
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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13
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   .</strong> A)   B)   C)   D)   E)
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14
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
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15
Evaluate the definite integral. <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the definite integral.  </strong> A)   B)   C)   D)   E)
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16
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
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17
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   .</strong> A)   B)   C)   D)   E)
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18
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   .</strong> A)   B)   C)   D)   E)
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19
Find <strong>Find   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   .</strong> A)   B)   C)   D)   E)
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20
Find the indefinite integral of <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral of   .</strong> A)   B)   C)   D)   E)
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21
Suppose a population of bacteria is changing at a rate of <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.

A) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)
B) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)
C) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)
D) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)
E) <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.</strong> A)   B)   C)   D)   E)
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22
Find the area of the region bounded by the graphs of the equations <strong>Find the area of the region bounded by the graphs of the equations   Round your answer to four decimal places.</strong> A) 7.2189 B) 7.5835 C) 8.2189 D) 8.5835 E) 8.8283 Round your answer to four decimal places.

A) 7.2189
B) 7.5835
C) 8.2189
D) 8.5835
E) 8.8283
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23
The rate of change in sales S is inversely proportional to time <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.

A) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)
B) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)
C) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)
D) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)
E) <strong>The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.</strong> A)   B)   C)   D)   E)
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24
Find the time required for an object to cool from <strong>Find the time required for an object to cool from   by evaluating   , where t is time in minutes. Round your answer to four decimal places.</strong> A) 6.4346 minutes B) 4.4251 minutes C) 3.6907 minutes D) 4.0598 minutes E) 5.8496 minutes by evaluating <strong>Find the time required for an object to cool from   by evaluating   , where t is time in minutes. Round your answer to four decimal places.</strong> A) 6.4346 minutes B) 4.4251 minutes C) 3.6907 minutes D) 4.0598 minutes E) 5.8496 minutes , where t is time in minutes. Round your answer to four decimal places.

A) 6.4346 minutes
B) 4.4251 minutes
C) 3.6907 minutes
D) 4.0598 minutes
E) 5.8496 minutes
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25
Suppose the demand equation for a product is <strong>Suppose the demand equation for a product is   Find the average price p on the interval   . Round your answer to the nearest dollar.</strong> A) $67 B) $83 C) $57 D) $565 E) $52 Find the average price p on the interval <strong>Suppose the demand equation for a product is   Find the average price p on the interval   . Round your answer to the nearest dollar.</strong> A) $67 B) $83 C) $57 D) $565 E) $52 . Round your answer to the nearest dollar.

A) $67
B) $83
C) $57
D) $565
E) $52
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26
Suppose a population of bacteria is changing at a rate of <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer.</strong> A) 12,783 B) 11,525 C) 13,533 D) 10,772 E) 11,522 where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when <strong>Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer.</strong> A) 12,783 B) 11,525 C) 13,533 D) 10,772 E) 11,522 days. Round your answer to the nearest integer.

A) 12,783
B) 11,525
C) 13,533
D) 10,772
E) 11,522
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27
Find the area of the region given below bounded by the graph of <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the region given below bounded by the graph of   .  </strong> A)   B)   C)   D)   E)
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