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A solid V is formed by revolving the curve in Figure 1 about the p-axis. The curve consists of smooth components defined by the functions (2-1) and ±(√√+1) for z ranging from 0 to a certain real number o. -3 2 (a, a) Figure 1: A piecewise-smooth curve that is to be revolved about the g-axis. (a) Determine the value of a algebraically and its decimal approximation rounded to three decimal places. (b) Compute the volume of V using the disk method. (c) Compute the volume of V using the cylindrical shells method.

A solid V is formed by revolving the curve in Figure 1 about the p-axis. The curve consists of smooth components defined by the functions (2-1) and ±(√√+1) for z ranging from 0 to a certain real number o. -3 2 (a, a) Figure 1: A piecewise-smooth curve that is to be revolved about the g-axis. (a) Determine the value of a algebraically and its decimal approximation rounded to three decimal places. (b) Compute the volume of V using the disk method. (c) Compute the volume of V using the cylindrical shells method.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A solid V is formed by revolving the curve in Figure 1 about the p-axis. The curve consists of smooth components defined by the functions (2-1) and (√+1) for tranging from 0 to a certain real number a -3 ~ (a, a) Figure 1: A piecewise-smooth curve that is to be revolved about the g-axis. (a) Determine the value of a algebraically and its decimal approximation rounded to three decimal places. (b) Compute the volume of V using the disk method. (c) Compute the volume of V using the cylindrical shells method.
Transcribed Image Text:1. A solid V is formed by revolving the curve in Figure 1 about the p-axis. The curve consists of smooth components defined by the functions (2-1) and (√+1) for tranging from 0 to a certain real number a -3 ~ (a, a) Figure 1: A piecewise-smooth curve that is to be revolved about the g-axis. (a) Determine the value of a algebraically and its decimal approximation rounded to three decimal places. (b) Compute the volume of V using the disk method. (c) Compute the volume of V using the cylindrical shells method.
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