Question 1

For what value of the constant c is the function f continuous on

Accepted Answer

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

Question 2

Use the graph of the function to find each limit.     ,   ,

Accepted Answer

The answer of Use the graph of the function to...

Question 3

Find the domain.

Accepted Answer

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

Question 4

Use the vertical line test to determine whether the curve is the graph of a function of x.

Accepted Answer

A) True 
 B)False

Question 5

Complete the table by computing   at the given values of x, accurate to five decimal places. Use the results to guess at the indicated limit, if it exists, to three decimal places.

Accepted Answer

The answer of Complete the table by computing  ...

Question 6

Determine whether f is even, odd, or neither.

Accepted Answer

A) even 
B) odd 
C) neither 
A) even 
B) odd 
C) neither

Question 7

The graph of the function   follows. Choose the graph of

Accepted Answer

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

Question 8

If   = 4   + 2, find and simplify   , where h   0.

Accepted Answer

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

Question 9

Let   Find the value of k that will make f continuous on

Accepted Answer

A) 3 
B) 28 
C) -2 
D) 6 
A) 3 
B) 28 
C) -2 
D) 6

Question 10

How close to 2 do we have to take x so that   is within a distance of 0.01 from 13?

Accepted Answer

The answer of How close to 2 do we have...

Question 11

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 12

You are given   and a tolerance   Find a number   such that   whenever

Accepted Answer

A) 0.04 
B) 0.0025 
C) 0.03 
D) 0.01 
A) 0.04 
B) 0.0025 
C) 0.03 
D) 0.01

Question 13

Sketch the graph of   over one period.

Accepted Answer

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

Question 14

Sketch the graph of the function f and evaluate

Accepted Answer

A)    3 
B)    Does not exist 
C)    Does not exist 
D)    0 
A)    3 
B)    Does not exist 
C)    Does not exist 
D)    0

Question 15

Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function   Calculate the (instantaneous) velocity of the car when

Accepted Answer

A) 223 ft/sec 
B) 16 ft/sec 
C) 560 ft/sec 
D) 4130 ft/sec 
A) 223 ft/sec 
B) 16 ft/sec 
C) 560 ft/sec 
D) 4130 ft/sec

Question 16

Classify the function as a Rational function, a Power function, an algebraic function, or other.

Accepted Answer

A) Algebraic 
B) Power 
C) Other 
D) Rational 
A) Algebraic 
B) Power 
C) Other 
D) Rational

Question 17

A spherical balloon with radius   inches has volume   .
Find a function that represents the amount of air required to inflate the balloon from a radius of   inches to a radius of   inches.

Accepted Answer

The answer of A spherical balloon with radius  ...

Question 18

Find a number   such that if   , then   , where   .

Accepted Answer

The answer of Find a number   such that...

Question 19

If a ball is thrown into the air with a velocity of   , its height (in feet) after t seconds is given by   . Find the velocity when

Accepted Answer

A)    ft/s 
B)    ft/s 
C)    ft/s 
D)    ft/s 
E)    ft/s 
A)    ft/s 
B)    ft/s 
C)    ft/s 
D)    ft/s 
E)    ft/s

Question 20

Determine whether the function whose graph is given, is even, odd, or neither.

Accepted Answer

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

For what value of the constant c is the function f continuous on

Use the graph of the function to find each limit. , ,

Find the domain.

Use the vertical line test to determine whether the curve is the graph of a function of x.

Complete the table by computing at the given values of x, accurate to five decimal places. Use the results to guess at the indicated limit, if it exists, to three decimal places.

Determine whether f is even, odd, or neither.

The graph of the function follows. Choose the graph of

If = 4 + 2, find and simplify , where h 0.

Let Find the value of k that will make f continuous on

How close to 2 do we have to take x so that is within a distance of 0.01 from 13?

Find the limit.

You are given and a tolerance Find a number such that whenever

Sketch the graph of over one period.

Sketch the graph of the function f and evaluate

Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function Calculate the (instantaneous) velocity of the car when

Classify the function as a Rational function, a Power function, an algebraic function, or other.

A spherical balloon with radius inches has volume . Find a function that represents the amount of air required to inflate the balloon from a radius of inches to a radius of inches.

Find a number such that if , then , where .

If a ball is thrown into the air with a velocity of , its height (in feet) after t seconds is given by . Find the velocity when

Determine whether the function whose graph is given, is even, odd, or neither.

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

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

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Exam 1: Functions and Limits

For what value of the constant c is the function f continuous on

Use the graph of the function to find each limit. , ,

Find the domain.

Use the vertical line test to determine whether the curve is the graph of a function of x.

Complete the table by computing at the given values of x, accurate to five decimal places. Use the results to guess at the indicated limit, if it exists, to three decimal places.

Determine whether f is even, odd, or neither.

The graph of the function follows. Choose the graph of

If = 4 + 2, find and simplify , where h 0.

Let Find the value of k that will make f continuous on

How close to 2 do we have to take x so that is within a distance of 0.01 from 13?

Find the limit.

You are given and a tolerance Find a number such that whenever

Sketch the graph of over one period.

Sketch the graph of the function f and evaluate

Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function Calculate the (instantaneous) velocity of the car when

Classify the function as a Rational function, a Power function, an algebraic function, or other.

A spherical balloon with radius inches has volume . Find a function that represents the amount of air required to inflate the balloon from a radius of inches to a radius of inches.

Find a number such that if , then , where .

If a ball is thrown into the air with a velocity of , its height (in feet) after t seconds is given by . Find the velocity when

Determine whether the function whose graph is given, is even, odd, or neither.

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

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