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In Exercises 27-32, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. In each case: approximate the volume using a sum of N slices, then take a limit to get an integral, and finally evaluate the integral to obtain a numerical answer for the volume. 27. x-axis 30.axis 6 2 y 28.2 31. x = -3 A y = x² + 2 B 1 FIGURE 13 2 - X 29. y = 2 32.2

In Exercises 27-32, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. In each case: approximate the volume using a sum of N slices, then take a limit to get an integral, and finally evaluate the integral to obtain a numerical answer for the volume. 27. x-axis 30.axis 6 2 y 28.2 31. x = -3 A y = x² + 2 B 1 FIGURE 13 2 - X 29. y = 2 32.2

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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In Exercises 27-32, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. In each case: approximate the volume using a sum of N slices, then take a limit to get an integral, and finally evaluate the integral to obtain a numerical answer for the volume. T 27. x-axis 30.axis 6 2 y 28.2 31. x = -3 A y = x² + 2 B 1 FIGURE 13 2 -X 29. y = 2 32.2
Transcribed Image Text:In Exercises 27-32, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. In each case: approximate the volume using a sum of N slices, then take a limit to get an integral, and finally evaluate the integral to obtain a numerical answer for the volume. T 27. x-axis 30.axis 6 2 y 28.2 31. x = -3 A y = x² + 2 B 1 FIGURE 13 2 -X 29. y = 2 32.2
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