Question 1

A sphere has a volume of 4.76 cubic inches.What is the radius of the sphere? Round your answer to four decimal places.

Accepted Answer

A) 1.0435 inches 
B) 1.6565 inches 
C) 1.0660 inches 
D) 2.1320 inches 
E) 1.9335 inches 
A) 1.0435 inches 
B) 1.6565 inches 
C) 1.0660 inches 
D) 2.1320 inches 
E) 1.9335 inches

Question 2

Consider the function   and the point   on the graph of

Accepted Answer

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

Question 3

Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function   where   are measured in miles.Find the rate of change of elevation when x = 4.

Accepted Answer

A) precalculus, 0.08 
B) calculus, 0.2 
C) calculus, 0.64 
D) calculus, 0.08 
E) precalculus, 0.2 
A) precalculus, 0.08 
B) calculus, 0.2 
C) calculus, 0.64 
D) calculus, 0.08 
E) precalculus, 0.2

Question 4

Consider the function   and the point   on the graph of

Accepted Answer

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

Question 5

What is the limit of   as x approaches

Accepted Answer

A)    
B)    
C)    
D)    
E) none of the above 
A)    
B)    
C)    
D)    
E) none of the above

Question 6

Find the limit L.

Accepted Answer

A) L = 9 
B) L = 2 
C) L = 7 
D) L = 16 
E) none of the above 
A) L = 9 
B) L = 2 
C) L = 7 
D) L = 16 
E) none of the above

Question 7

Determine the following limit.(Hint: Use the graph to calculate the limit.)

Accepted Answer

A) 6 
B) 1 
C) 5 
D) 4 
E) does not exist 
A) 6 
B) 1 
C) 5 
D) 4 
E) does not exist

Question 8

on the graph of f. Find the
slope of the secant line passing through and for . Round your answer to
four decimal places.
-Consider the function   nd the point   on the graph of f. Find the  slope of the secant line passing through   Round your answer to four decimal places.

Accepted Answer

A) m=0.1000 
B) m=0.0122 
C) m=0.01220 
D) m=0.3133 
A) m=0.1000 
B) m=0.0122 
C) m=0.01220 
D) m=0.3133

Question 9

The graph of   is shown in the figure.Find   such that if   then

Accepted Answer

A)    
B)    
C)    
D)    
E) None of the above 
A)    
B)    
C)    
D)    
E) None of the above

Question 10

A sphere has a volume of 4.44 cubic inches.If the sphere's volume can vary between 3.64 cubic inches and 5.04 cubic inches , how can the radius vary? Round your answer to five
Decimal places.

Accepted Answer

A) Radius can vary between 0.93219 inch and 1.09691 inches. 
B) Radius can vary between 0.21960 inch and 1.61960 inches. 
C) Radius can vary between 1.69081 inches and 1.98957 inches. 
D) Radius can vary between 1.51481 inches and 1.68837 inches. 
E) Radius can vary between 0.95427 inch and 1.06361 inches. 
A) Radius can vary between 0.93219 inch and 1.09691 inches. 
B) Radius can vary between 0.21960 inch and 1.61960 inches. 
C) Radius can vary between 1.69081 inches and 1.98957 inches. 
D) Radius can vary between 1.51481 inches and 1.68837 inches. 
E) Radius can vary between 0.95427 inch and 1.06361 inches.

A sphere has a volume of 4.76 cubic inches.What is the radius of the sphere? Round your answer to four decimal places.

Consider the function and the point on the graph of

Consider the function and the point on the graph of

What is the limit of as x approaches

Find the limit L.

Determine the following limit.(Hint: Use the graph to calculate the limit.)

on the graph of f. Find the slope of the secant line passing through and for . Round your answer to four decimal places. -Consider the function nd the point on the graph of f. Find the slope of the secant line passing through Round your answer to four decimal places.

The graph of is shown in the figure.Find such that if then

A sphere has a volume of 4.44 cubic inches.If the sphere's volume can vary between 3.64 cubic inches and 5.04 cubic inches , how can the radius vary? Round your answer to five Decimal places.

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

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Exam 1: Limits and Their Properties

A sphere has a volume of 4.76 cubic inches.What is the radius of the sphere? Round your answer to four decimal places.

Consider the function and the point on the graph of

Consider the function and the point on the graph of

What is the limit of as x approaches

Find the limit L.

Determine the following limit.(Hint: Use the graph to calculate the limit.)

on the graph of f. Find the slope of the secant line passing through and for . Round your answer to four decimal places. -Consider the function nd the point on the graph of f. Find the slope of the secant line passing through Round your answer to four decimal places.

The graph of is shown in the figure.Find such that if then

A sphere has a volume of 4.44 cubic inches.If the sphere's volume can vary between 3.64 cubic inches and 5.04 cubic inches , how can the radius vary? Round your answer to five Decimal places.

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters