Revolve the region bounded by the graphs of y = -x² and y = -1 about the line y = -1. Set up the integral for the volume of this solid, but do NOT evaluate. 71 2 [-x²7x dx

Q: Revolve the region between y=x-x4 and y=0 about the y-axis. Find area

A: The given region is between y=x-x4 and y=0 and it is revolved around y- axis.

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the area of the region between the curves y = x + 1, y = 9 – x², x = -1, and x :2. %3D Area…

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Q: Find the area of the region between the curves 4x + y = 12 and x Area between curves = %3D

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Q: Find the area of the region enclosed by the curves y = x^2 − 1 and y = 7 − x^2.

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Q: R is the region bounded by the functions f(x) = x + 2 and the x-axis and the lines x=1 and x=4.…

A: Given: 1) The given region is bounded by y=x4+x, y=0,x=0 and x=2 about the line x=4 2) The given…

Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves =

A: R