# Section 1.1 A Preview of Calculus

Education

12

All Questions

12

Multiple Choice

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True False

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Essay

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Short Answer

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Q 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 2 seconds by an object traveling at a constant velocity of 11 feet per second.
A)calculus,22 ft
B)calculus,42 ft
C)precalculus,22 ft
D)calculus,44 ft
E)precalculus,44 ft

Free

Multiple Choice

C

Q 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 14 seconds by an object moving with a velocity of feet per second.
A)calculus,154.8204 ft
B)precalculus,156.1704 ft
C)calculus,159.9436 ft
D)precalculus,159.9436 ft
E)precalculus,154.8204 ft

Free

Multiple Choice

C

Q 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,0.09
B)calculus,0.21
C)calculus,0.81
D)calculus,0.09
E)precalculus,0.21

Free

Multiple Choice

C

Q 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 .
A)calculus,0.5
B)precalculus,0.1
C)calculus,0.1
D)precalculus,0.5
E)precalculus,0.35

Multiple Choice

Q 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 , , .
A)precalculus,28
B)calculus,42
C)precalculus,14
D)precalculus,42
E)calculus,28

Multiple Choice

Q 6

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,5
B)precalculus,5
C)precalculus,6
D)calculus,7
E)precalculus,7

Multiple Choice

Q 7

Use the rectangles in the following graph to approximate the area of the region bounded by , , ,and .
A)3.9082
B)2.6055
C)1.9541
D)1.4656
E)0.9770

Multiple Choice

Q 8

Use the rectangles in the following graph to approximate the area of the region bounded by , , ,and .
A)0.7850
B)1.5700
C)3.1400
D)1.1775
E)1.0519

Multiple Choice

Q 9

Use the rectangles in the graph given below to approximate the area of the region bounded by , , ,and .Round your answer to three decimal places.
A)2.481 units

^{2}B)6.371 units^{2}C)3.585 units^{2}D)6.872 units^{2}E)6.903 units^{2} Multiple Choice

Q 10

Consider the length of the graph of from to .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

Multiple Choice

Q 11

Consider the length of the graph of from to .Approximate the length of the curve by finding the sum of the lengths of five line segments,as shown in following figure.Round your answer to two decimal places.
A)7.76
B)9.77
C)7.07
D)9.9
E)8.76

Multiple Choice

Q 12

Consider the length of the graph of from to .Approximate the length of the curve by finding the sum of the lengths of three line segments,as shown in following figure.Round your answer to two decimal places.
A)4.49
B)6.52
C)4.24
D)7.07
E)5.51

Multiple Choice