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2) Parts a and b are separate here. a. Let A be the region in the second quadrant (x < 0 and y> 0) bounded by y =-bx and y ax2 for a,b> Draw a sketch of the bounded region, a typical washer or disk, and the resulting solid all on one graph. Set-up the integral that represents the volume of the resulting solid. Do not solve the integral. b. Let B be the region bounded by f(x) = sin/(x) cos (x) and the y-axis for 0SXSR/2. Suppose B is rotated about the x-axis. Use the integral to find the exact volume of the resulting solid. %3D

2) Parts a and b are separate here. a. Let A be the region in the second quadrant (x < 0 and y> 0) bounded by y =-bx and y ax2 for a,b> Draw a sketch of the bounded region, a typical washer or disk, and the resulting solid all on one graph. Set-up the integral that represents the volume of the resulting solid. Do not solve the integral. b. Let B be the region bounded by f(x) = sin/(x) cos (x) and the y-axis for 0SXSR/2. Suppose B is rotated about the x-axis. Use the integral to find the exact volume of the resulting solid. %3D

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Please solve sections a and b of problem 2. Please show your work. 

2) Parts a and b are separate here. a. Let A be the region in the second quadrant (x<0 and y > 0) bounded by y = -bx and y = ax² for a, b> 0. Draw a sketch of the bounded region, a typical washer or disk, and the resulting solid all on one graph. Set-up the integral that represents the volume of the resulting solid. Do not solve the integral. b. Let B be the region bounded by f(x) = sin2(x) cos (x) and the y-axis for 0 Sx Sn/2. Suppose B is rotated about the x-axis. Use the integral to find the exact volume of the resulting solid. %3D
Transcribed Image Text:2) Parts a and b are separate here. a. Let A be the region in the second quadrant (x<0 and y > 0) bounded by y = -bx and y = ax² for a, b> 0. Draw a sketch of the bounded region, a typical washer or disk, and the resulting solid all on one graph. Set-up the integral that represents the volume of the resulting solid. Do not solve the integral. b. Let B be the region bounded by f(x) = sin2(x) cos (x) and the y-axis for 0 Sx Sn/2. Suppose B is rotated about the x-axis. Use the integral to find the exact volume of the resulting solid. %3D
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