Test Bank for Calculus for AP 2nd Edition Larson

Section_1_1
1. 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 4 seconds by an object traveling at a constant velocity of 11 feet per second.

a.
calculus, 44 ft
b.
calculus, 64 ft
c.
precalculus, 44 ft
d.
calculus, 88 ft
e.
precalculus, 88 ft
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
REFERENCES: 2.1.1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
LEARNING OBJECTIVES: CETF.LAED.11.72 - Recognize problems requiring precalculus and find the
solution
OTHER: Skill
NOTES: Section 2.1
DATE CREATED: 1/11/2020 9:54 AM
DATE MODIFIED: 1/11/2020 9:54 AM

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 5 seconds by an object moving with a velocity of feet per second.

a.
calculus, 62.2693 ft
b.
precalculus, 63.6193 ft
c.
calculus, 52.3286 ft
d.
precalculus, 52.3286 ft
e.
precalculus, 62.2693 ft
ANSWER: c
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 2.1.2
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
LEARNING OBJECTIVES: CETF.LAED.11.73 - Recognize problems requiring calculus and estimate solutions
OTHER: Skill
NOTES: Section 2.1
DATE CREATED: 1/11/2020 9:54 AM

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,Section_1_1

DATE MODIFIED: 1/11/2020 9:54 AM

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




a.
precalculus, 0.06
b.
calculus, 0.18
c.
calculus, 0.36
d.
calculus, 0.06
e.
precalculus, 0.18
ANSWER: c
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 2.1.3
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
LEARNING OBJECTIVES: CETF.LAED.11.73 - Recognize problems requiring calculus and estimate solutions
OTHER: Skill
NOTES: Section 2.1
DATE CREATED: 1/11/2020 9:54 AM
DATE MODIFIED: 1/11/2020 9:54 AM

4. 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.

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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 .




a.
calculus, 1.62
b.
precalculus, 0.18
c.
calculus, 0.18
d.
precalculus, 1.62
e.
precalculus, 0.43
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
REFERENCES: 2.1.4
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
LEARNING OBJECTIVES: CETF.LAED.11.72 - Recognize problems requiring precalculus and find the
solution
OTHER: Skill
NOTES: Section 2.1
DATE CREATED: 1/11/2020 9:54 AM
DATE MODIFIED: 1/11/2020 9:54 AM

5. 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 , , .




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