Question 1

Determine the indefinite integral.
-

Accepted Answer

A)      + C 
B)      + C 
C)  -       + C 
D)  -       + C 
A)      + C 
B)      + C 
C)  -       + C 
D)  -       + C B

Question 2

Compute dy/dx for the function.
-y =   6x

Accepted Answer

A)  2 cosh 6x 
B)  12 sinh 6x cosh 6x 
C)  2 sinh 6x cosh 6x 
D)  12 cosh 6x 
A)  2 cosh 6x 
B)  12 sinh 6x cosh 6x 
C)  2 sinh 6x cosh 6x 
D)  12 cosh 6x B

Question 3

Evaluate the definite integral. Express the answer in terms of natural logarithms.
-

Accepted Answer

A)  ln( 8 + 3   ) 
B)  ln(   ) 
C)  ln 9 
D)  ln( 8 +   ) 
A)  ln( 8 + 3   ) 
B)  ln(   ) 
C)  ln 9 
D)  ln( 8 +   ) D

Question 4

Compute dy/dx for the function.
-y =

Accepted Answer

A)  -   
B)    
C)    
D)      
A)  -   
B)    
C)    
D)

Question 5

Determine the indefinite integral.
-

Accepted Answer

A)    x + C 
B)    x   x + C 
C)  -   + C 
D)    + C 
A)    x + C 
B)    x   x + C 
C)  -   + C 
D)    + C

Question 6

Evaluate the integral.
-  dx

Accepted Answer

A)  52,464 
B)    
C)    + C 
D)    
A)  52,464 
B)    
C)    + C 
D)

Question 7

Evaluate the integral.
-

Accepted Answer

A)    ln   + C 
B)    ln   + C 
C)    ln   + C 
D)    ln   + C 
A)    ln   + C 
B)    ln   + C 
C)    ln   + C 
D)    ln   + C

Question 8

Evaluate the integral.
-

Accepted Answer

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

Question 9

Evaluate the integral.
-  dx

Accepted Answer

A)  - 5 
B)  14 
C)  9 
D)  5 
A)  - 5 
B)  14 
C)  9 
D)  5

Question 10

Evaluate the integral.
-  dx

Accepted Answer

A)  1 - cos 1 
B)  1 
C)  1 + cos 1 
D)  -1 
A)  1 - cos 1 
B)  1 
C)  1 + cos 1 
D)  -1

Question 11

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary.
-  5

Accepted Answer

A)  1.0001 
B)  0.9999 
C)  0.2027 
D)  does not exist 
A)  1.0001 
B)  0.9999 
C)  0.2027 
D)  does not exist

Question 12

Evaluate the integral.
-  dx

Accepted Answer

A)  2 ln   + C 
B)      + C 
C)    ln   + C 
D)    + C 
A)  2 ln   + C 
B)      + C 
C)    ln   + C 
D)    + C

Question 13

Evaluate the integral.
-  dx

Accepted Answer

A)    
B)    + C 
C)    
D)  8 
A)    
B)    + C 
C)    
D)  8

Question 14

Evaluate the integral.
-

Accepted Answer

A)  42 ln 3 
B)  -42 ln 3 
C)  21 ln 3 
D)  -21 ln 3 
A)  42 ln 3 
B)  -42 ln 3 
C)  21 ln 3 
D)  -21 ln 3

Question 15

Evaluate the integral.
-

Accepted Answer

A)    + C 
B)  1 
C)    + C 
D)    + C 
A)    + C 
B)  1 
C)    + C 
D)    + C

Question 16

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary.
-  9

Accepted Answer

A)  4.0515 
B)  0.0998 
C)  0.0002 
D)  0.1109 
A)  4.0515 
B)  0.0998 
C)  0.0002 
D)  0.1109

Question 17

Use l'H   pital's Rule to evaluate the limit.
-

Accepted Answer

A)  $\infty$ 
B)    
C)    
D)  1 
A)  $\infty$ 
B)    
C)    
D)  1

Question 18

Solve the problem.
-The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount, that is,   . If   for a particular person, how long will it take for his alcohol concentration to decrease from 0.10% to 0.05%? Give your answer to the nearest tenth of an hour.

Accepted Answer

A)  2.1 hr 
B)  1.4 hr 
C)  0.3 hr 
D)  2.8 hr 
A)  2.1 hr 
B)  1.4 hr 
C)  0.3 hr 
D)  2.8 hr

Question 19

Solve the problem.
-A certain radioactive isotope decays at a rate of 1% per 300 years. If t represents time in years and y represents the amount of the isotope left, use the condition that   to find the value of k in the equation

Accepted Answer

A)  0.00897 
B)  -0.00003 
C)  0.00003 
D)  -0.01005 
A)  0.00897 
B)  -0.00003 
C)  0.00003 
D)  -0.01005

Question 20

Evaluate the integral.
-  dx

Accepted Answer

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

Determine the indefinite integral. -

Compute dy/dx for the function. -y = 6x

Evaluate the definite integral. Express the answer in terms of natural logarithms. -

Compute dy/dx for the function. -y =

Determine the indefinite integral. -

Evaluate the integral. - dx

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. - dx

Evaluate the integral. - dx

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary. - 5

Evaluate the integral. - dx

Evaluate the integral. - dx

Evaluate the integral. -

Evaluate the integral. -

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary. - 9

Use l'H pital's Rule to evaluate the limit. -

Solve the problem. -The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount, that is, . If for a particular person, how long will it take for his alcohol concentration to decrease from 0.10% to 0.05%? Give your answer to the nearest tenth of an hour.

Solve the problem. -A certain radioactive isotope decays at a rate of 1% per 300 years. If t represents time in years and y represents the amount of the isotope left, use the condition that to find the value of k in the equation

Evaluate the integral. - dx

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Integration Techniques

Differential Equations

Sequences and Infinite Series

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

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Exam 7: Logarithmic, Exponential, and Hyperbolic Functions

Determine the indefinite integral. -

Compute dy/dx for the function. -y = 6x

Evaluate the definite integral. Express the answer in terms of natural logarithms. -

Compute dy/dx for the function. -y =

Determine the indefinite integral. -

Evaluate the integral. - dx

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. - dx

Evaluate the integral. - dx

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary. - 5

Evaluate the integral. - dx

Evaluate the integral. - dx

Evaluate the integral. -

Evaluate the integral. -

Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary. - 9

Use l'H pital's Rule to evaluate the limit. -

Solve the problem. -The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount, that is, . If for a particular person, how long will it take for his alcohol concentration to decrease from 0.10% to 0.05%? Give your answer to the nearest tenth of an hour.

Solve the problem. -A certain radioactive isotope decays at a rate of 1% per 300 years. If t represents time in years and y represents the amount of the isotope left, use the condition that to find the value of k in the equation

Evaluate the integral. - dx

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Integration Techniques

Differential Equations

Sequences and Infinite Series

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

Filters