Question 1

Decide whether the integral converges. If the integral converges, compute its value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    B

Question 2

Find the derivative of the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    A

Question 3

Evaluate the integral.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these C

Question 4

Calculate the derivative.

Accepted Answer

The answer of Calculate the derivative.  ...

Question 5

Recall that the average of a function   on an interval   is   Find the average of the given function.   over   .

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Calculate the derivative.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Use the conversion formula   to replace the expression   by a sine function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Evaluate the integral.   Use the symbol C to write the constant.

Accepted Answer

The answer of Evaluate the integral.   Use the...

Question 9

Find the derivative of the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Recall that the total income received from time t = a to time t = b from a continuous income stream of R (t)dollars per year is   Find the total value of the given income stream and also find its future value (at the end of the given interval)using the given interest rate.

Accepted Answer

A) TV = $1,400,000, FV = $745,106.09 
B) TV = $0, FV = $207,020.55 
C) TV = $0, FV = $277,680.69 
D) TV = $0, FV = $54,779.56 
E) none of these 
A) TV = $1,400,000, FV = $745,106.09 
B) TV = $0, FV = $207,020.55 
C) TV = $0, FV = $277,680.69 
D) TV = $0, FV = $54,779.56 
E) none of these

Question 11

Model the curve with a sine function.   Note that the period of the curve is   and its range is   . Write the model function as a function of (x)and   .

Accepted Answer

The answer of Model the curve with a sine function....

Question 12

Evaluate the integral.   Use the symbol C to write the constant.

Accepted Answer

The answer of Evaluate the integral.   Use the...

Question 13

Sketch the curves without any technological help.   ;

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

The depth of water   at my favorite surfing spot varies from 9 to 20 feet, depending on the time. Last Sunday high tide occurred at 5:00 A.M. and the next high tide occurred at 6:30 P.M. Use a sine function to model the depth of water as a function of time t in hours since midnight on Sunday morning.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Match between columns
                        Premises: 11ebfe6a_2d0e_924f_96cc_694faa5a45b2_TBX8650_11
11ebfe6a_2d0e_6b3c_96cc_ef5d57a6bd78_TBX8650_11

Accepted Answer

The Answer of 11ebfe6a_2d0e_9250_96cc_d7dc4492e239_TBX8650_11 and 11ebfe6a_2d0e_9251_96cc_abe1424c132f_TBX8650_11 and 11ebfe6a_2d0e_6b3d_96cc_fbad8f5373fe_TBX8650_11 and 11ebfe6a_2d0e_924e_96cc_7bb590a41356_TBX8650_11 is...

Question 16

Use geometry to compute the given integral.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 17

Evaluate the integral.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 18

Use the conversion formula   to replace the expression   by a sine function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Model the curve with a cosine function.   Note that the period of the curve is   its range is   and the graph of the cosine function is shifted to the right 0.7 units.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Calculate the derivative.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Decide whether the integral converges. If the integral converges, compute its value.

Find the derivative of the function.

Evaluate the integral.

Calculate the derivative.

Recall that the average of a function on an interval is Find the average of the given function. over .

Calculate the derivative.

Use the conversion formula to replace the expression by a sine function.

Evaluate the integral. Use the symbol C to write the constant.

Find the derivative of the function.

Recall that the total income received from time t = a to time t = b from a continuous income stream of R (t)dollars per year is Find the total value of the given income stream and also find its future value (at the end of the given interval)using the given interest rate.

Model the curve with a sine function. Note that the period of the curve is and its range is . Write the model function as a function of (x)and .

Evaluate the integral. Use the symbol C to write the constant.

Sketch the curves without any technological help. ;

The depth of water at my favorite surfing spot varies from 9 to 20 feet, depending on the time. Last Sunday high tide occurred at 5:00 A.M. and the next high tide occurred at 6:30 P.M. Use a sine function to model the depth of water as a function of time t in hours since midnight on Sunday morning.

Use geometry to compute the given integral.

Evaluate the integral.

Use the conversion formula to replace the expression by a sine function.

Model the curve with a cosine function. Note that the period of the curve is its range is and the graph of the cosine function is shifted to the right 0.7 units.

Calculate the derivative.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

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Exam 9: Trigonometric Models

Decide whether the integral converges. If the integral converges, compute its value.

Find the derivative of the function.

Evaluate the integral.

Calculate the derivative.

Recall that the average of a function on an interval is Find the average of the given function. over .

Calculate the derivative.

Use the conversion formula to replace the expression by a sine function.

Evaluate the integral. Use the symbol C to write the constant.

Find the derivative of the function.

Recall that the total income received from time t = a to time t = b from a continuous income stream of R (t)dollars per year is Find the total value of the given income stream and also find its future value (at the end of the given interval)using the given interest rate.

Model the curve with a sine function. Note that the period of the curve is and its range is . Write the model function as a function of (x)and .

Evaluate the integral. Use the symbol C to write the constant.

Sketch the curves without any technological help. ;

The depth of water at my favorite surfing spot varies from 9 to 20 feet, depending on the time. Last Sunday high tide occurred at 5:00 A.M. and the next high tide occurred at 6:30 P.M. Use a sine function to model the depth of water as a function of time t in hours since midnight on Sunday morning.

Use geometry to compute the given integral.

Evaluate the integral.

Use the conversion formula to replace the expression by a sine function.

Model the curve with a cosine function. Note that the period of the curve is its range is and the graph of the cosine function is shifted to the right 0.7 units.

Calculate the derivative.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Filters