Question 1

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

Accepted Answer

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

Question 2

Find the volume of the solid obtained by rotating about the y axis the region bounded by the curves.

Accepted Answer

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

Question 3

Find the derivative of the function. y =

Accepted Answer

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

Question 4

The graph of f is given. Sketch the graph of f -1 on the same set of axes.   3

Accepted Answer

Question 5

Find the limit.

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Find the derivative of the function.
f (x) = sinh -1 6x

Accepted Answer

Question 8

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 9

Find the domain of the function. f (x) = ln (8x + 7)

Accepted Answer

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

Question 10

Find   if

Accepted Answer

The answer of Find   if  ...

Question 11

If

Accepted Answer

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

Question 12

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 13

At what point of the curve   does the tangent line have slope   ?

Accepted Answer

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

Question 14

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 15

Determine f(x) from the table. The values from the table are given to the nearest ten thousandth.           1

Accepted Answer

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

Question 16

Find

Accepted Answer

The answer of Find    ...

Question 17

Evaluate the integral.

Accepted Answer

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

Question 18

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

The answer of Use logarithmic differentiation to find the derivative...

Question 19

Find an equation of the tangent line to the curve at the given point.

Accepted Answer

The answer of Find an equation of the tangent line...

Question 20

Use the laws of logarithms to expand the expression. ln

Accepted Answer

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

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

Find the volume of the solid obtained by rotating about the y axis the region bounded by the curves.

Find the derivative of the function. y =

The graph of f is given. Sketch the graph of f ^-¹ on the same set of axes. 3

Find the limit.

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

Find the derivative of the function. f (x) = sinh ^-¹ 6x

Differentiate the function.

Find the domain of the function. f (x) = ln (8x + 7)

Find if

If

Evaluate the integral.

At what point of the curve does the tangent line have slope ?

Evaluate the integral.

Determine f(x) from the table. The values from the table are given to the nearest ten thousandth. 1

Find

Evaluate the integral.

Use logarithmic differentiation to find the derivative of the function.

Find an equation of the tangent line to the curve at the given point.

Use the laws of logarithms to expand the expression. ln

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters

Exam 6: Inverse Functions

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

Find the volume of the solid obtained by rotating about the y axis the region bounded by the curves.

Find the derivative of the function. y =

The graph of f is given. Sketch the graph of f -1 on the same set of axes. 3

Find the limit.

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

Find the derivative of the function. f (x) = sinh -1 6x

Differentiate the function.

Find the domain of the function. f (x) = ln (8x + 7)

Find if

If

Evaluate the integral.

At what point of the curve does the tangent line have slope ?

Evaluate the integral.

Determine f(x) from the table. The values from the table are given to the nearest ten thousandth. 1

Find

Evaluate the integral.

Use logarithmic differentiation to find the derivative of the function.

Find an equation of the tangent line to the curve at the given point.

Use the laws of logarithms to expand the expression. ln

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters

The graph of f is given. Sketch the graph of f ^-¹ on the same set of axes. 3

Find the derivative of the function. f (x) = sinh ^-¹ 6x