Question 1

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

Accepted Answer

A) 5 
B) 4 
C) 3 
D) 0 
E) does not exist 
A) 5 
B) 4 
C) 3 
D) 0 
E) does not exist C

Question 2

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

Accepted Answer

A) 6 
B) 25 
C) 1 
D) 5 
E) does not exist. 
A) 6 
B) 25 
C) 1 
D) 5 
E) does not exist. A

Question 3

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

Accepted Answer

A) -2 
B) 0 
C) -4 
D) 2 
E) does not exist 
A) -2 
B) 0 
C) -4 
D) 2 
E) does not exist E

Question 4

Complete the table and use the result to estimate the limit.

Accepted Answer

A) -0.062500 
B) 0.067500 
C) -0.192500 
D) 0.047500 
E) -0.172500 
A) -0.062500 
B) 0.067500 
C) -0.192500 
D) 0.047500 
E) -0.172500

Question 5

Consider the length of the graph of   Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in following
Figure.Round your answer to two decimal places.

Accepted Answer

A) 6.11 
B) 8.12 
C) 5.66 
D) 8.49 
E) 7.11 
A) 6.11 
B) 8.12 
C) 5.66 
D) 8.49 
E) 7.11

Question 6

A ring has a inner circumference of 10 centimeters.What is the radius of the ring? Round your answer to four decimal places.

Accepted Answer

A) 0.7958 centimeter 
B) 3.1831 centimeters 
C) 1.5915 centimeters 
D) 1.7841 centimeters 
E) 10.1321 centimeters 
A) 0.7958 centimeter 
B) 3.1831 centimeters 
C) 1.5915 centimeters 
D) 1.7841 centimeters 
E) 10.1321 centimeters

Question 7

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.
Find the area of the shaded region.

Accepted Answer

A) calculus , 11 
B) precalculus , 11 
C) precalculus , 13 
D) calculus , 16 
E) precalculus , 16 
A) calculus , 11 
B) precalculus , 11 
C) precalculus , 13 
D) calculus , 16 
E) precalculus , 16

Question 8

Consider the function   and the point   on the graph of

Accepted Answer

A) m=0.1667 
B) m=0.0832 
C) m=0.3800 
D) m=0.0556 
E) m=0.0833 
A) m=0.1667 
B) m=0.0832 
C) m=0.3800 
D) m=0.0556 
E) m=0.0833

Question 9

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.
Find the distance traveled in 20 seconds by an object moving with a velocity of   feet
Per second.

Accepted Answer

A) calculus, 162.4485 ft 
B) precalculus, 163.7985 ft 
C) calculus, 165.4777 ft 
D) precalculus, 165.4777 ft 
E) precalculus, 162.4485 ft 
A) calculus, 162.4485 ft 
B) precalculus, 163.7985 ft 
C) calculus, 165.4777 ft 
D) precalculus, 165.4777 ft 
E) precalculus, 162.4485 ft

Question 10

Complete the table and use the result to estimate the limit.

Accepted Answer

A)    
B)    
C) 0 
D) 0.5   
A)    
B)    
C) 0 
D) 0.5

Question 11

Consider the function   and the point   on the graph of

Accepted Answer

A) 10 
B) 3 
C) 8 
D) 2 
E) 9 
A) 10 
B) 3 
C) 8 
D) 2 
E) 9

Question 12

A ring has a inner circumference of 9 centimeters.If the ring's inner circumference can vary between 8 centimeters and 10 centimeters how can the radius vary? Round your answer to
Five decimal places.

Accepted Answer

A) Radius can vary between 6.48456 centimeters and 10.13212 centimeters. 
B) Radius can vary between 1.59577 centimeters and 1.78412 centimeters. 
C) Radius can vary between 1.27324 centimeters and 1.59155 centimeters. 
D) Radius can vary between 2.54648 centimeters and 3.18310 centimeters. 
E) Radius can vary between 0.43239 centimeter and 2.43239 centimeters. 
A) Radius can vary between 6.48456 centimeters and 10.13212 centimeters. 
B) Radius can vary between 1.59577 centimeters and 1.78412 centimeters. 
C) Radius can vary between 1.27324 centimeters and 1.59155 centimeters. 
D) Radius can vary between 2.54648 centimeters and 3.18310 centimeters. 
E) Radius can vary between 0.43239 centimeter and 2.43239 centimeters.

Question 13

Consider the function   and the point   n the graph of

Accepted Answer

A) 3.5 
B) 2.0 
C) 3.0 
D) 4.5 
E) 9.0 
A) 3.5 
B) 2.0 
C) 3.0 
D) 4.5 
E) 9.0

Question 14

Complete the table and use the result to estimate the limit.

Accepted Answer

A) 0.525000 
B) 0.275000 
C) -0.100000 
D) 0.400000 
E) -0.475000 
A) 0.525000 
B) 0.275000 
C) -0.100000 
D) 0.400000 
E) -0.475000

Question 15

Find the limit L.

Accepted Answer

A) L = 12 
B) L = 6 
C) L = 2 
D) L = -4 
E) none of the above 
A) L = 12 
B) L = 6 
C) L = 2 
D) L = -4 
E) none of the above

Question 16

Use the rectangles in the graph given below to approximate the area of the region bounded by   Round your answer to three decimal places.

Accepted Answer

A) 2.481   
B) 6.371   
C) 3.585   
D) 6.872   
E) 6.903   
A) 2.481   
B) 6.371   
C) 3.585   
D) 6.872   
E) 6.903

Question 17

Consider the function   and the point P(64,8) on the graph of

Accepted Answer

A) 0.0633 , -0.0627 , 0.0623 
B) 0.0633 , 0.0627 , 0.0623 
C) 0.0317 , 0.0314 , 0.0312 
D) 0.0633 , -0.0627 , -0.0623 
E) -0.0317 , -0.0314 , -0.0312 
A) 0.0633 , -0.0627 , 0.0623 
B) 0.0633 , 0.0627 , 0.0623 
C) 0.0317 , 0.0314 , 0.0312 
D) 0.0633 , -0.0627 , -0.0623 
E) -0.0317 , -0.0314 , -0.0312

Question 18

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.
Find the area of the shaded region bounded by the triangle with vertices (0,0), (8,9), (17,0).

Accepted Answer

A) precalculus , 153 
B) calculus , 229.5 
C) precalculus , 76.5 
D) precalculus , 229.5 
E) calculus , 153 
A) precalculus , 153 
B) calculus , 229.5 
C) precalculus , 76.5 
D) precalculus , 229.5 
E) calculus , 153

Question 19

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.
Find the distance traveled in 16 seconds by an object traveling at a constant velocity of 20 feet per
Second.

Accepted Answer

A) calculus, 320 ft 
B) calculus, 340 ft 
C) precalculus, 320 ft 
D) calculus, 640 ft 
E) precalculus, 640 ft 
A) calculus, 320 ft 
B) calculus, 340 ft 
C) precalculus, 320 ft 
D) calculus, 640 ft 
E) precalculus, 640 ft

Question 20

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 x and   are measured in miles.Find the rate of change of elevation when x = 5.

Accepted Answer

A) calculus, 2 
B) precalculus, 0.2 
C) calculus, 0.2 
D) precalculus, 2 
E) precalculus, 0.45 
A) calculus, 2 
B) precalculus, 0.2 
C) calculus, 0.2 
D) precalculus, 2 
E) precalculus, 0.45

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

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

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

Complete the table and use the result to estimate the limit.

Consider the length of the graph of Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in following Figure.Round your answer to two decimal places.

A ring has a inner circumference of 10 centimeters.What is the radius of the ring? Round your answer to four decimal places.

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. Find the area of the shaded region.

Consider the function and the point on the graph of

Complete the table and use the result to estimate the limit.

Consider the function and the point on the graph of

A ring has a inner circumference of 9 centimeters.If the ring's inner circumference can vary between 8 centimeters and 10 centimeters how can the radius vary? Round your answer to Five decimal places.

Consider the function and the point n the graph of

Complete the table and use the result to estimate the limit.

Find the limit L.

Use the rectangles in the graph given below to approximate the area of the region bounded by Round your answer to three decimal places.

Consider the function and the point P(64,8) on the graph of

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

Exam 1: Limits and Their Properties

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

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

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

Complete the table and use the result to estimate the limit.

Consider the length of the graph of Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in following Figure.Round your answer to two decimal places.

A ring has a inner circumference of 10 centimeters.What is the radius of the ring? Round your answer to four decimal places.

Consider the function and the point on the graph of

Complete the table and use the result to estimate the limit.

Consider the function and the point on the graph of

A ring has a inner circumference of 9 centimeters.If the ring's inner circumference can vary between 8 centimeters and 10 centimeters how can the radius vary? Round your answer to Five decimal places.

Consider the function and the point n the graph of

Complete the table and use the result to estimate the limit.

Find the limit L.

Use the rectangles in the graph given below to approximate the area of the region bounded by Round your answer to three decimal places.

Consider the function and the point P(64,8) on the graph of

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