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Exam 7: Section 4: Applications of Integration

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A barn is 75 feet long and 50 feet wide. A cross section of the roof is the inverted catenary A barn is 75 feet long and 50 feet wide. A cross section of the roof is the inverted catenary . Find the number of square feet of roofing on the barn. Round your answer to the nearest integer. . Find the number of square feet of roofing on the barn. Round your answer to the nearest integer. A barn is 75 feet long and 50 feet wide. A cross section of the roof is the inverted catenary . Find the number of square feet of roofing on the barn. Round your answer to the nearest integer.

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(Multiple Choice)
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Question 1
Correct Answer:
Verified

B

Find the area of the surface generated by revolving the curve about the x-axis. Find the area of the surface generated by revolving the curve about the x-axis. . .

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(Multiple Choice)
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Question 2
Correct Answer:
Verified

D

Find the area of the surface generated by revolving the curve about the y-axis. Find the area of the surface generated by revolving the curve about the y-axis. . .

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Question 3
Correct Answer:
Verified

E

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval [0,6]. over the interval [0,6].

(Multiple Choice)
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Question 4

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of about the x-axis. about the x-axis.

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Question 5

Find the area of the surface generated by revolving the curve about the x-axis. Find the area of the surface generated by revolving the curve about the x-axis. . .

(Multiple Choice)
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Question 6

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval [1,64]. over the interval [1,64].

(Multiple Choice)
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Question 7

Find the arc length from Find the arc length from clockwise to (2, ) along the circle . Round your answer to four decimal places. clockwise to (2, Find the arc length from clockwise to (2, ) along the circle . Round your answer to four decimal places. ) along the circle Find the arc length from clockwise to (2, ) along the circle . Round your answer to four decimal places. . Round your answer to four decimal places.

(Multiple Choice)
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Question 8

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval . over the interval Find the arc length of the graph of the function over the interval . .

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Question 9

Find the area of the surface generated by revolving the curve about the y-axis. Find the area of the surface generated by revolving the curve about the y-axis.

(Multiple Choice)
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Question 10

Electrical wires suspended between two towers form a catenary modeled by the equation Electrical wires suspended between two towers form a catenary modeled by the equation where x and y are measured in meters. The towers are 50 meters apart. Find the length of the suspended cable. Round your answer to three decimal places. where x and y are measured in meters. The towers are 50 meters apart. Find the length of the suspended cable. Round your answer to three decimal places. Electrical wires suspended between two towers form a catenary modeled by the equation where x and y are measured in meters. The towers are 50 meters apart. Find the length of the suspended cable. Round your answer to three decimal places.

(Multiple Choice)
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Question 11

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval . over the interval Find the arc length of the graph of the function over the interval . .

(Multiple Choice)
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Question 12

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of about the y-axis. Round your answer to three decimal places. about the y-axis. Round your answer to three decimal places. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of about the y-axis. Round your answer to three decimal places.

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Question 13

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval [14, 16]. over the interval [14, 16].

(Multiple Choice)
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Question 14

Use the integration capabilities of a graphing utility to approximate the arc length of the graph of Use the integration capabilities of a graphing utility to approximate the arc length of the graph of on the interval . Round your answer to three decimal places. on the interval Use the integration capabilities of a graphing utility to approximate the arc length of the graph of on the interval . Round your answer to three decimal places. . Round your answer to three decimal places.

(Multiple Choice)
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Question 15

Find the arc length of the graph of the function Find the arc length of the graph of the function over the interval [1,2]. over the interval [1,2].

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Question 16

An ornamental light bulb is designed by revolving the graph of An ornamental light bulb is designed by revolving the graph of about the x-axis where x and y are measured in feet. Approximate the amount of glass needed to make the bulb. (Assume that the glass is 0.016 inches thick.) Round your answer to four decimal places. about the x-axis where x and y are measured in feet. Approximate the amount of glass needed to make the bulb. (Assume that the glass is 0.016 inches thick.) Round your answer to four decimal places. An ornamental light bulb is designed by revolving the graph of about the x-axis where x and y are measured in feet. Approximate the amount of glass needed to make the bulb. (Assume that the glass is 0.016 inches thick.) Round your answer to four decimal places.

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Question 17

A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters. Approximate the length of a parabolic cable along the main span if the length C of the cable is given by A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters. Approximate the length of a parabolic cable along the main span if the length C of the cable is given by . Round your answer to one decimal place. . Round your answer to one decimal place. A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters. Approximate the length of a parabolic cable along the main span if the length C of the cable is given by . Round your answer to one decimal place.

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Question 18
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