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...
,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 13 seconds by an object traveling at a constant velocity of 15 feet per second.
a. calculus, 195 ft
b. calculus, 215 ft
c. precalculus, 195 ft
d. calculus, 390 ft
e. precalculus, 390 ft
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
REFERENCES: Section 1.1
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
LEARNING OBJECTIVES: LCalc11.1.1.2 - Understand that the tangent line problem is basic to calculus.
OTHER: Skill
DATE CREATED: 1/11/2017 9:56 AM
DATE MODIFIED: 1/11/2017 9:56 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 19 seconds by an object moving with a velocity of feet per second. Round
your answer to four decimal places.
a. calculus, 215.9209 ft
b. precalculus, 217.2709 ft
c. calculus, 210.0491 ft
d. precalculus, 210.0491 ft
e. precalculus, 215.9209 ft
ANSWER: c
POINTS: 1
DIFFICULTY: Medium
REFERENCES: Section 1.1
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
LEARNING OBJECTIVES: CALC052 - Recognize problems requiring calculus and estimate solutions
OTHER: Skill
DATE CREATED: 1/11/2017 9:56 AM
DATE MODIFIED: 1/11/2017 9:56 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
Page 2
,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, 0.09
b. calculus, 0.21
c. calculus, 0.81
d. calculus, 0.09
e. precalculus, 0.21
ANSWER: c
POINTS: 1
DIFFICULTY: Medium
REFERENCES: Section 1.1
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
LEARNING OBJECTIVES: CALC052 - Recognize problems requiring calculus and estimate solutions
OTHER: Skill
DATE CREATED: 1/11/2017 9:56 AM
DATE MODIFIED: 1/11/2017 9:56 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.
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 . Round your answer to two decimal places, if necessary.
Page 3
, a. calculus, 0.98
b. precalculus, 0.14
c. calculus, 0.14
d. precalculus, 0.98
e. precalculus, 0.39
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
REFERENCES: Section 1.1
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
LEARNING OBJECTIVES: LCalc11.1.1.2 - Understand that the tangent line problem is basic to calculus.
OTHER: Skill
DATE CREATED: 1/11/2017 9:56 AM
DATE MODIFIED: 1/11/2017 9:56 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 , , .
Page 4
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