2. Find the volume of the region bounded by the curves y = x', y=1 from x- 0 to x =1 and rotating about the x-axis by (a) disk method and (b) shell method. y = x3 y = 1

Q: 2. Find the volume formed when the region enclosed by f(x)=2x², g(x)=x²-2x², h(x)=0 (area in the…

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Q: Find the volume of the solid that sits above the rectangle [−1, 1]×[0, 1] in the xy-plane and below…

A: Given: Rectangle [−1, 1]×[0, 1] in the xy-plane Surface z = x^(2/3)+y^(1/3)

Q: Sketch the region bounded by the curves y = 6 vx and y = 6x then set up the integral needed to find…

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Q: Find the centroid of the region in the plane enclosed by the curves y = +-(1 - x2)^(-1/2) and the…

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Q: Let R be the region in the first quadrant bounded by the graph of y = x² + 4x and the x-axis. A…

A: Step 1: Step 2: Step 3: Step 4:

Q: Q1) find the area of region in first quadrant by revolution the line y = v2 and the curve y = secx…

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Q: Find a center of mass of a thin plate of density 8 = 5 bounded by the lines y = x and x = 0 and the…

A: Center of mass of the plate is given by  x,y=MyM,MxM here M=∫∫D δx,ydAMx=∫∫D yδx,ydAMy=∫∫D xδx,ydA…