answer all parts (two pictures attached) Now we can say that the volume of the solid created by rotating the region under y =and above the x-axis between x = 0 and x = 1 around the y-axis isV =2nrh dx2nX4edx.The integral 27T4xe-x dx can be done with the substitution u =and du =dx. With the substitution, we have 2n4xe-x?dx = -eu du = -+ C. Going back tox, the volume of our solid is Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.y = 4e-x?y = 0,X = 0,x = 1Sketch the region and a typical shell. Rotating a vertical strip around the y-axis creates a cylinder with radius r =and height h =Sketch the region and a typical shell.yy42-0.50.5101.5-0,50.5101.5yy2-1.5-1.0-0.50.51.01.5-1.5-1.08.51.01.5

Given that y=4e-x2, y=0, x=0, x=1. At x=0, y=4 At x=1, y=1.472. Given that the region is rotated…

Now we can say that the volume of the solid created by rotating the region under y = 4e- and above the x-axis between x = 0 and x = 1 around the y-axis is V = 2nrh dx dx. de? The integral 2n 4xe-x dx can be done with the substitution u = and du = dx. With the substitution, we have 2n 4xe- dx = - e du =- + C. Going bac x, the volume of our solid is

Now we can say that the volume of the solid created by rotating the region under y = 4e- and above the x-axis between x = 0 and x = 1 around the y-axis is V = 2nrh dx dx. de? The integral 2n 4xe-x dx can be done with the substitution u = and du = dx. With the substitution, we have 2n 4xe- dx = - e du =- + C. Going bac x, the volume of our solid is

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 13E

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