MA104_F19.suxx3860.Homework_03_F19.pdf - Junyu Su...

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Junyu Su MA104 F19 Assignment Homework 03 F19 due 09/30/2019 at 11:59pm EDT 1. (1 point) The volume of the solid obtained by rotating the region en- closed by y = x 2 , x = y 2 3. (1 point) The volume of the solid obtained by rotating the region en- closed by x = 4 y , y 3 = x ( with y 0 ) about the y-axis can be computed using the method of disks or washers via an integral V = Z b a ? with limits of integration a = and b = . Correct Answers: pi*(3 + sqrt(y))**2 - pi*(3 + y**2)**2 DY 0 1 2. (1 point) The volume of the solid obtained by rotating the region en- closed by y = x 2 , y = 4 x , about the line y = 16 can be computed using the method of discs or washers via an integral V = Z b a ? with limits of integration a = and b = . Correct Answers: pi*((16 - x**2)**2) - pi*((16 - 4*x)**2) DX 0 4

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