Question 1

An open rectangular box with volume     has a square base. Express the surface area of the box as a function   of the length   of a side of the base.

Accepted Answer

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

Question 2

Evaluate the limit.

Accepted Answer

0

Question 3

Find the limit   , if it exists.

Accepted Answer

The answer of Find the limit   , if...

Question 4

By graphing the function   and zooming in toward the point where the graph crosses the y-axis, estimate the value of

Accepted Answer

The answer of By graphing the function   and...

Question 5

Use the graph of the function to state the value of   if it exists.

Accepted Answer

A)    
B)    
C)    
D) 1 
E) does not exist 
A)    
B)    
C)    
D) 1 
E) does not exist

Question 6

For   determine whether f is continuous from the right, from the left, or neither.

Accepted Answer

The answer of For   determine whether f is...

Question 7

Find the limit   .

Accepted Answer

The answer of Find the limit   ....

Question 8

If f (x) =   find f (-4), f (0), and f (1).

Accepted Answer

f (-4) = 1

Question 9

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit.  ...

Question 10

Let   Find the following limits.

Accepted Answer

A)    and   
B)    and   
C) both 1 
D)    and   
E) both   
A)    and   
B)    and   
C) both 1 
D)    and   
E) both

Question 11

Find the domain of the function.

Accepted Answer

A) (-$\infty$, 0) $\cup$ (0, $\infty$) 
B) (-$\infty$, 0) 
C)    
D)    
A) (-$\infty$, 0) $\cup$ (0, $\infty$) 
B) (-$\infty$, 0) 
C)    
D)

Question 12

Determine whether f is even, odd, or neither.

Accepted Answer

The answer of Determine whether f is even, odd, or...

Question 13

Determine where f is discontinuous.

Accepted Answer

A)    only 
B)    
C)    only 
D)    
E) 0 only 
A)    only 
B)    
C)    only 
D)    
E) 0 only

Question 14

If   , evaluate the difference quotient   .

Accepted Answer

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

Question 15

The graph of the function   is given. State the value of   .

Accepted Answer

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

Question 16

Find the limit   , if it exists.

Accepted Answer

A) 5 
B) 3 
C) Does not exist 
D) 2 
A) 5 
B) 3 
C) Does not exist 
D) 2

Question 17

If   , find and simplify   , where   .

Accepted Answer

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

Question 18

Refer to the graph of the function f in the following figure.   
a. Find f (1).
b. Find the value of x for which (i)
   and (ii)
   . 
c. Find the domain and range of f.

Accepted Answer

a. 0
b. (i

Question 19

Find the limit   .

Accepted Answer

A) 6 
B) 12 
C) -1 
D) -12 
A) 6 
B) 12 
C) -1 
D) -12

Question 20

Determine where f is discontinuous.

Accepted Answer

The answer of Determine where f is discontinuous.  ...

An open rectangular box with volume has a square base. Express the surface area of the box as a function of the length of a side of the base.

Evaluate the limit.

Find the limit , if it exists.

By graphing the function and zooming in toward the point where the graph crosses the y-axis, estimate the value of

Use the graph of the function to state the value of if it exists.

For determine whether f is continuous from the right, from the left, or neither.

Find the limit .

If f (x) = find f (-4), f (0), and f (1).

Evaluate the limit.

Let Find the following limits.

Find the domain of the function.

Determine whether f is even, odd, or neither.

Determine where f is discontinuous.

If , evaluate the difference quotient .

The graph of the function is given. State the value of .

Find the limit , if it exists.

If , find and simplify , where .

Refer to the graph of the function f in the following figure. a. Find f (1). b. Find the value of x for which (i) and (ii) . c. Find the domain and range of f.

Find the limit .

Determine where f is discontinuous.

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

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

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Exam 1: Functions and Limits

An open rectangular box with volume has a square base. Express the surface area of the box as a function of the length of a side of the base.

Evaluate the limit.

Find the limit , if it exists.

By graphing the function and zooming in toward the point where the graph crosses the y-axis, estimate the value of

Use the graph of the function to state the value of if it exists.

For determine whether f is continuous from the right, from the left, or neither.

Find the limit .

If f (x) = find f (-4), f (0), and f (1).

Evaluate the limit.

Let Find the following limits.

Find the domain of the function.

Determine whether f is even, odd, or neither.

Determine where f is discontinuous.

If , evaluate the difference quotient .

The graph of the function is given. State the value of .

Find the limit , if it exists.

If , find and simplify , where .

Refer to the graph of the function f in the following figure. a. Find f (1). b. Find the value of x for which (i) and (ii) . c. Find the domain and range of f.

Find the limit .

Determine where f is discontinuous.

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

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