Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x2, y = 3x, x 2 0; about the x-axis V = Sketch the region. y y 3 2 2 1 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 y y 3 3 2 2 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 Sketch the solid, and a typical disk or washer. y y 3 3 2 2- 1 X X 1.5 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 -1 -1 -2 -2 -3 y y 3 3 2 2 1 1 X X -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 -2 -3

Q: a. x = 2y, y = 2 and y= 3; revolved about x-axis 4. (0, 3) y=3 (0, 2 y=2 -2. -4. 0 x=0 x = 2y + 2.…

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Q: Find the surface area in r(r,0)=(rcos)i + (rsin0) j+0k, 0≤0≤2ñ, 0≤r≤1. the accompanying (1, 0, 2)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Solution:

Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = Vx, y…

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Q: 4. Consider the region R bounded by the lines y = -x + 5, y = x + 1 and the y-axis. Find the volume…

A: Given region R is bounded by the line  y=-x+5y=x+1 To find point of intersection of two given…

Q: Sketch the region enclosed by the curves. x + y = 3, y + 3x = 3, x - y = 0 f(x) = + 10- -8-

A: Drawing the given line.