Question 1

Evaluate the limit,if it exists.

Accepted Answer

A)    
B)  1 
C)  -7 
D)    
E)  does not exist 
A)    
B)  1 
C)  -7 
D)    
E)  does not exist

Question 2

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   What is the F-intercept and what does it represent?

Accepted Answer

A)    ,Fahrenheit temperature corresponding to   
B)  32,Fahrenheit temperature corresponding to   
C)  32,Celsius temperature corresponding to   
D)  0,Fahrenheit temperature corresponding to   
E)    ,Celsius temperature corresponding to   
A)    ,Fahrenheit temperature corresponding to   
B)  32,Fahrenheit temperature corresponding to   
C)  32,Celsius temperature corresponding to   
D)  0,Fahrenheit temperature corresponding to   
E)    ,Celsius temperature corresponding to

Question 3

Find an expression for the function  y = f(x) whose graph is the bottom half of the parabola   .

Accepted Answer

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

Question 4

The graphs of f(x) and g(x) are given. Find the values of f (-4) and g (3).

Accepted Answer

The answer of The graphs of f(x) and g(x) are...

Question 5

Find the limit   .

Accepted Answer

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

Question 6

Let   Find the following limits.

Accepted Answer

A)  3 and -3 
B)  both 3 
C)  both 1 
D)   3 and -1 
E)  3 and 1 
A)  3 and -3 
B)  both 3 
C)  both 1 
D)   3 and -1 
E)  3 and 1

Question 7

Evaluate the limit.

Accepted Answer

A)  -189 
B)  -1010 
C)  -1000 
D)  135 
E)  -990 
A)  -189 
B)  -1010 
C)  -1000 
D)  135 
E)  -990

Question 8

If f and g are continuous functions with

Accepted Answer

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

Question 9

Many physical quantities are connected by inverse square laws,that is,by power functions of the form   . In particular,the illumination of an object by a light source is inversely proportional to the square of the distance from the source.Suppose that after dark you are in a room with just one lamp and you are trying to read a book.The light is too dim and so you move   the distance to the lamp.How much brighter is the light?

Accepted Answer

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

Question 10

Find the domain of the function.

Accepted Answer

The answer of Find the domain of the function. ...

Question 11

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

Accepted Answer

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

Evaluate the limit,if it exists.

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. What is the F-intercept and what does it represent?

Find an expression for the function y = f(x) whose graph is the bottom half of the parabola .

The graphs of f(x) and g(x) are given. Find the values of f (-4) and g (3).

Find the limit .

Let Find the following limits.

Evaluate the limit.

If f and g are continuous functions with

Find the domain of the function.

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

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

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

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Exam 1: Functions and Limits

Evaluate the limit,if it exists.

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. What is the F-intercept and what does it represent?

Find an expression for the function y = f(x) whose graph is the bottom half of the parabola .

The graphs of f(x) and g(x) are given. Find the values of f (-4) and g (3).

Find the limit .

Let Find the following limits.

Evaluate the limit.

If f and g are continuous functions with

Find the domain of the function.

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

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

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters