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Set up the definite integral that would allow you to find the area of the region enclosed between y = 3x − 2 and y = −x2 + 4x + 4 which is sketched below. Note: You do not need to evaluate the definite integral.

Set up the definite integral that would allow you to find the area of the region enclosed between y = 3x − 2 and y = −x2 + 4x + 4 which is sketched below. Note: You do not need to evaluate the definite integral.

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Set up the definite integral that would allow you to find the area of the region enclosed between y = 3 x − 2 and y = − x 2 + 4 x + 4 which is sketched below.
Note: You do not need to evaluate the definite integral.

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(As before, you do not need to enter the units since they are provided to the right of the answer box.) Part C The momentum of an object is determined to be 7.2×10-3 kg⋅m/s. Express this quantity as provided or use any equivalent unit. (Note: 1 kg = 1000 g). Part D Enter the following expression in the answer box below: √2gλ3m, where λ is the lowercase Greek letter lambda.Grading for Numeric Answers Tolerance Some numeric answers to questions need to be exact. For example, the answer to the question "How many days are in a week?" must be exactly 7. In general though, numeric answers are graded as correct if they fall within an acceptable range (or tolerance) of the official correct answer. For example, if the answer to a numeric problem with a tolerance of 2% was 105, then entering any value between approximately 103 and 107 would be graded as correct, as shown in the region shaded green below. 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Solution
2 0

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x = 2 about the following lines. a. The y-axis b. The line x = 6 c. The line x = -9 d. The x-axis e. The line y = 8 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. The volume of the given solid is dx (Type an exact answer in terms of π.) b. Set up the integral that gives the volume of the solid generated by revolving around the line x = 6. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) c. Set up the integral that gives the volume of the solid generated by revolving around the line x = -9 The volume of the given solid is cubic units. (Type an exact answer in terms of π.) d. Set up the integral that gives the volume of the solid generated by revolving around the x-axis. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) e. Set up the integral that gives the volume of the solid generated by revolving around the line y = 8. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) f. Set up the integral that gives the volume of the solid generated by revolving around the line y = -2. The volume of the given solid is cubic units. (Type an exact answer in terms of π.)

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x = 2 about the following lines. a. The y-axis b. The line x = 6 c. The line x = -9 d. The x-axis e. The line y = 8 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. The volume of the given solid is dx (Type an exact answer in terms of π.) b. Set up the integral that gives the volume of the solid generated by revolving around the line x = 6. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) c. Set up the integral that gives the volume of the solid generated by revolving around the line x = -9 The volume of the given solid is cubic units. (Type an exact answer in terms of π.) d. Set up the integral that gives the volume of the solid generated by revolving around the x-axis. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) e. Set up the integral that gives the volume of the solid generated by revolving around the line y = 8. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) f. Set up the integral that gives the volume of the solid generated by revolving around the line y = -2. The volume of the given solid is cubic units. (Type an exact answer in terms of π.)

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Solution
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Solution
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