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1. The plane region is bounded by the parabola y2 + 2x = 16 and the line x - y = 4. Determine: a. The Area of the Plane Region b. The Volume of the solid generated when the plane area is revolved about the y-axis. c. The Volume of the solid generated when the plane area is revolved about the line y = 3.

1. The plane region is bounded by the parabola y2 + 2x = 16 and the line x - y = 4. Determine: a. The Area of the Plane Region b. The Volume of the solid generated when the plane area is revolved about the y-axis. c. The Volume of the solid generated when the plane area is revolved about the line y = 3.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 39A
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Directions: For each of the following problems, draw a sketch of the plane region then solve the problems as instructed. Set up and evaluate the required integral to solve the problem, express your answer in the exact form in fraction, in terms of e, In, , etc. (not in decimal). 1. The plane region is bounded by the parabola y² + 2x = 16 and the line x - y = 4. Determine: a. The Area of the Plane Region b. The Volume of the solid generated when the plane area is revolved about the y-axis. c. The Volume of the solid generated when the plane area is revolved about the line y = 3.
Transcribed Image Text:Directions: For each of the following problems, draw a sketch of the plane region then solve the problems as instructed. Set up and evaluate the required integral to solve the problem, express your answer in the exact form in fraction, in terms of e, In, , etc. (not in decimal). 1. The plane region is bounded by the parabola y² + 2x = 16 and the line x - y = 4. Determine: a. The Area of the Plane Region b. The Volume of the solid generated when the plane area is revolved about the y-axis. c. The Volume of the solid generated when the plane area is revolved about the line y = 3.
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