Question 3 Let D denote the region in the xy-plane bounded by the parabola 4x = y and the straight line y=4-2x as shown in Figure 1. y= 4-2x 4x=y 3 2 A = (1, 2) -6 -5 -4 -3 -2 -1 3 5 6 7 10 11 12 13 -2 -3 B = (4, -4) -4 -5 Figure 1 a) Compute the volume of the solid generated by revolving the region about the y-axis through Disk method. b) Compute the volume of the solid generated by revolving the region about the horizontal line y =-4 through Cylindrical Shell method.

Question 3 Let D denote the region in the xy-plane bounded by the parabola 4x = y and the straight line y=4-2x as shown in Figure 1. y= 4-2x 4x=y 3 2 A = (1, 2) -6 -5 -4 -3 -2 -1 3 5 6 7 10 11 12 13 -2 -3 B = (4, -4) -4 -5 Figure 1 a) Compute the volume of the solid generated by revolving the region about the y-axis through Disk method. b) Compute the volume of the solid generated by revolving the region about the horizontal line y =-4 through Cylindrical Shell method.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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