# Section 6.1 Area of a Region Between Two Curves

Education

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All Questions

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Multiple Choice

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Q 1

Set up the definite integral that gives the area of the region bounded by the graph of and .
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A

Q 2

Find the area of the region bounded by the equations by integrating (i)with respect to x and (ii)with respect to y.
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Free

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D

Q 3

Find the area of the region bounded by equations by integrating (i)with respect to x and (ii)with respect to y.
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Free

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E

Q 4

Find the area of the region bounded by the graphs of the algebraic functions.
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Multiple Choice

Q 5

Find the area of the region bounded by the graphs of the algebraic functions.
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Q 6

Find the area of the region bounded by the graphs of the algebraic functions.
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Q 7

Find the area of the region bounded by the graphs of the algebraic functions. , , ,
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Q 8

Find the area of the region bounded by the graphs of the equations. , ,
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Q 9

Find the area of the region bounded by the graphs of the function , , .Round your answer to three decimal places.
A)19.560
B)9.878
C)5.199
D)9.780
E)19.756

Multiple Choice

Q 10

Find the area of the region bounded by the graphs of the function , , .Round your answer to three decimal places.
A)0.650
B)0.722
C)1.039
D)0.346
E)1.155

Multiple Choice

Q 11

Find the area of the region bounded by the graphs of the equations. , ,
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Q 12

If the accumulation function is given by ,evaluate .
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Q 13

Suppose that and model the revenue (in billions of dollars)for a large corporation.The model R

_{1}gives projected annual revenues from 2008 through 2012,with corresponding to 2008,and R_{2}gives projected revenues if there is a decrease in the rate of growth of corporate sales over the period.Approximate the total reduction in revenue if corporate sales are actually closer to the model R_{2}.Round your answer to three decimal places. A)$1.720 billion B)$6.880 billion C)$104.800 billion D)$10.480 billion E)$17.200 billion Multiple Choice

Q 14

The chief financial officer of a company reports that profits for the past fiscal year were $17.5 million.The officer predicts that profits for the next 7 years will grow at a continuous annual rate somewhere between % and 9%.Estimate the cumulative difference in total profit over the 7 years based on the predicted range of growth rates.Round your answer to three decimal places.
A)$442.354 billion
B)$36.910 billion
C)$21.224 billion
D)$11.053 billion
E)$97.762 billion

Multiple Choice

Q 15

The surface of a machine part is the region between the graphs of and as shown in the figure.Find k if the parabola is tangent to the graph of y

_{1}.Round your answer to three decimal places. A)6.250 B)0.080 C)0.040 D)0.160 E)12.500 Multiple Choice

Q 16

The surface of a machine part is the region between the graphs of and as shown in the figure.Find the area of the surface of the machine part.Round your answer to five decimal places.
A)3.33333
B)0.66667
C)0.00333
D)166.66667
E)33.33333

Multiple Choice

Q 17

Concrete sections for the new building have the dimensions (in meters)and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the section superimposed on the rectangular coordinate system.Round your answer to three decimal places.
A)6.198 m

^{2}B)8.883 m^{2}C)6.766 m^{2}D)8.134 m^{2}E)5.267 m^{2} Multiple Choice

Q 18

Concrete sections for the new building have the dimensions (in meters)and shape as shown in the figure (the picture is not necessarily drawn to scale).One cubic meter of concrete weighs 5,880 pounds.Find the weight of the section.Round your answer to the nearest pound.
A)104,465 pounds
B)95,652 pounds
C)50,183 pounds
D)61,943 pounds
E)79,569 pounds

Multiple Choice