Deck 1: Limits and Their Properties

Question 1

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

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

Answer 1

-0.062500

Question 2

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.

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

Answer 2

calculus, 165.4777 ft

Question 3

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

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

Answer 3

3

Question 4

Consider the function and the point on the graph of

A)
B)
C)
D)
E)

Question 5

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

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

Question 6

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

A)
B)
C)0
D)0.5

Question 7

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

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

Question 8

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.

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

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

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

Question 10

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

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

Question 11

Consider the function and the point on the graph of

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

Question 12

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.

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

Question 13

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.

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

Question 14

Consider the function and the point on the graph of

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

Question 15

Consider the function and the point n the graph of

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

Question 16

Consider the function and the point on the graph of

A)
B)
C)
D)
E)

Question 17

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.

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

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.

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

Question 19

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

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 20

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

Question 21

What is the limit of as x approaches

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

Question 22

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

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

Question 23

Find the limit L.

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

Question 24

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

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

Question 25

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

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

Question 26

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

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

Question 27

Find the limit L.

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

Question 28

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.

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.

Question 29

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.

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 30

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

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