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6 Nov 2019
y = cosx, 0 x pi/2, y = 0, x = 0 y = sec x, y = 0 x = -pi/4, x = pi/4 y = e-x, y = 0, x = 0, x = 1 The region between the curve y = cotx, and the x-axis from x = pi/6 to x = pi/2. The region between the curve y = 1/(2 x) and the x-axis from x = 1/4 to x = 4. The region bounded by the x-axis and one arch of the cycloid x = theta - sin theta, y = 1 - cos theta. (Hint: dV = piy2 dx =piy2 (dx/d theta) d theta.) In Exercises 29 and 30, find the volume of the solid generated by revolving the region about the given line. The region in the first quadrant bounded above by the line y = 2, below by the curve y = sec x tan x, and on the left by the y-axis, about the line y = 2 Show transcribed image text
y = cosx, 0 x pi/2, y = 0, x = 0 y = sec x, y = 0 x = -pi/4, x = pi/4 y = e-x, y = 0, x = 0, x = 1 The region between the curve y = cotx, and the x-axis from x = pi/6 to x = pi/2. The region between the curve y = 1/(2 x) and the x-axis from x = 1/4 to x = 4. The region bounded by the x-axis and one arch of the cycloid x = theta - sin theta, y = 1 - cos theta. (Hint: dV = piy2 dx =piy2 (dx/d theta) d theta.) In Exercises 29 and 30, find the volume of the solid generated by revolving the region about the given line. The region in the first quadrant bounded above by the line y = 2, below by the curve y = sec x tan x, and on the left by the y-axis, about the line y = 2
Show transcribed image text Reid WolffLv2
20 Aug 2019