(a) Find the area of the bounded region below y = sin x and y = cos x but above the x-axis on [0,π/2]. sin x = cos x when x = √. The area of the bound region is (b) Find the volume of the solid by rotating the above region about y = 2. Please set up the integral(s) only and you don't need to calculate the integral(s). (c) Find the volume of the solid by rotating the above region about y = -2. Please set up the integral(s) only and you don't need to calculate the integral(s). Shell method:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find the area of the bounded region below y = sin x and y = cos x but above the x-axis on [0,π/2].
sin x = cos x when x = √. The area of the bound region is
(b) Find the volume of the solid by rotating the above region about y = 2. Please set up the integral(s)
only and you don't need to calculate the integral(s).
(c) Find the volume of the solid by rotating the above region about y = -2. Please set up the
integral(s) only and you don't need to calculate the integral(s). Shell method:
Transcribed Image Text:(a) Find the area of the bounded region below y = sin x and y = cos x but above the x-axis on [0,π/2]. sin x = cos x when x = √. The area of the bound region is (b) Find the volume of the solid by rotating the above region about y = 2. Please set up the integral(s) only and you don't need to calculate the integral(s). (c) Find the volume of the solid by rotating the above region about y = -2. Please set up the integral(s) only and you don't need to calculate the integral(s). Shell method:
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