Question 1

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 2

Find the numerical value of the expression.

Accepted Answer

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

Question 3

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

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

Question 4

A telephone line hangs between two poles at 12 m apart in the shape of the catenary   , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

Accepted Answer

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

Question 5

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 6

Starting with the graph of   , write the equation of the graph that results from shifting 5 units right.

Accepted Answer

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

Question 7

Simplify the expression.

Accepted Answer

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

Question 8

Find the derivative.

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 11

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

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

Question 12

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by   (The maximum charge capacity   is and t is measured in seconds.) How long does it take to recharge the capacitor to 90% of capacity if   ?

Accepted Answer

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

Question 13

Find the exact value of the expression.

Accepted Answer

A) 2 
B) 4 
C) 1 
D) 5 
E) 3 
A) 2 
B) 4 
C) 1 
D) 5 
E) 3

Question 14

Solve the equation.

Accepted Answer

A) x = ln   + 2 
B) x = ln   - 2 
C) x = ln   + 2 
D) x = ln   - 2 
A) x = ln   + 2 
B) x = ln   - 2 
C) x = ln   + 2 
D) x = ln   - 2

Question 15

Find the limit.

Accepted Answer

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

Question 16

If   , find   .

Accepted Answer

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

Question 17

Find the limit.

Accepted Answer

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

Question 18

Find a formula for the inverse of the function.

Accepted Answer

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

Question 19

Differentiate the function.

Accepted Answer

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

Question 20

Find the exact value of the expression.

Accepted Answer

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

Find the limit.

Find the numerical value of the expression.

Evaluate the limit using l'Hôpital's Rule.

A telephone line hangs between two poles at 12 m apart in the shape of the catenary , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

Differentiate the function.

Starting with the graph of , write the equation of the graph that results from shifting 5 units right.

Simplify the expression.

Find the derivative.

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

Differentiate the function.

Use logarithmic differentiation to find the derivative of the function.

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by (The maximum charge capacity is and t is measured in seconds.) How long does it take to recharge the capacitor to 90% of capacity if ?

Find the exact value of the expression.

Solve the equation.

Find the limit.

If , find .

Find the limit.

Find a formula for the inverse of the function.

Differentiate the function.

Find the exact value of the expression.

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters

Exam 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Find the limit.

Find the numerical value of the expression.

Evaluate the limit using l'Hôpital's Rule.

A telephone line hangs between two poles at 12 m apart in the shape of the catenary , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

Differentiate the function.

Starting with the graph of , write the equation of the graph that results from shifting 5 units right.

Simplify the expression.

Find the derivative.

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

Differentiate the function.

Use logarithmic differentiation to find the derivative of the function.

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by (The maximum charge capacity is and t is measured in seconds.) How long does it take to recharge the capacitor to 90% of capacity if ?

Find the exact value of the expression.

Solve the equation.

Find the limit.

If , find .

Find the limit.

Find a formula for the inverse of the function.

Differentiate the function.

Find the exact value of the expression.

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters