Question 1

Use the laws of logarithms to expand the expression. ln

Accepted Answer

A)    ln   
B)    ln (x + 5)-   ln (x - 6) 
C)    ln [(x + 5)(x - 6)] 
D)    ln   
A)    ln   
B)    ln (x + 5)-   ln (x - 6) 
C)    ln [(x + 5)(x - 6)] 
D)    ln

Question 2

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

A)  25 
B)  15 
C)  0 
D)  75 
A)  25 
B)  15 
C)  0 
D)  75

Question 3

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Accepted Answer

A)  68 m 
B)  100 m 
C)  64 m 
D)  36 m 
E)  72 m 
A)  68 m 
B)  100 m 
C)  64 m 
D)  36 m 
E)  72 m

Question 4

Find the derivative.

Accepted Answer

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

Question 5

The half-life of cesium-137 is 30 years.Suppose we have a 170-mg sample.How much of the sample remains after 140 years?

Accepted Answer

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

Question 6

Find the numerical value of the expression

Accepted Answer

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Question 7

Simplify the expression.

Accepted Answer

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Question 8

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 9

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

A)    
B)  3 
C)    
D)  0 
A)    
B)  3 
C)    
D)  0

Question 10

Find

Accepted Answer

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Question 11

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

A)  0 
B)  1 
C)  e 
D)  ($ \infty $) 
A)  0 
B)  1 
C)  e 
D)  ($ \infty $)

Question 12

The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Accepted Answer

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Question 13

Differentiate the function.

Accepted Answer

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Question 14

If $5000 is invested at 3% interest,find the value of the investment at the end of 5 years if the interest is compounded   .

Accepted Answer

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Question 15

Evaluate the integral.

Accepted Answer

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Question 16

Evaluate the integral.

Accepted Answer

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Question 17

Evaluate the expression. (a)   (b)

Accepted Answer

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Question 18

Find the exact value of the expression

Accepted Answer

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Question 19

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 -   ln (x + 6)

Accepted Answer

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B)    
C)    
D)    
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B)    
C)    
D)

Question 20

Find the numerical value of the expression

Accepted Answer

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Use the laws of logarithms to expand the expression. ln

Evaluate the limit using l'Hôpital's Rule.

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Find the derivative.

The half-life of cesium-137 is 30 years.Suppose we have a 170-mg sample.How much of the sample remains after 140 years?

Find the numerical value of the expression

Simplify the expression.

Differentiate the function.

Evaluate the limit using l'Hôpital's Rule.

Find

Evaluate the limit using l'Hôpital's Rule.

The acceleration function (in m/ )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Differentiate the function.

If $5000 is invested at 3% interest,find the value of the investment at the end of 5 years if the interest is compounded .

Evaluate the integral.

Evaluate the integral.

Evaluate the expression. (a) (b)

Find the exact value of the expression

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 - ln (x + 6)

Find the numerical value of the expression

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters

Exam 5: Integrals

Use the laws of logarithms to expand the expression. ln

Evaluate the limit using l'Hôpital's Rule.

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Find the derivative.

The half-life of cesium-137 is 30 years.Suppose we have a 170-mg sample.How much of the sample remains after 140 years?

Find the numerical value of the expression

Simplify the expression.

Differentiate the function.

Evaluate the limit using l'Hôpital's Rule.

Find

Evaluate the limit using l'Hôpital's Rule.

The acceleration function (in m/ )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Differentiate the function.

If $5000 is invested at 3% interest,find the value of the investment at the end of 5 years if the interest is compounded .

Evaluate the integral.

Evaluate the integral.

Evaluate the expression. (a) (b)

Find the exact value of the expression

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 - ln (x + 6)

Find the numerical value of the expression

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters