The area bounded by y=x, the line x=2, and x-axis is revolved about the line y=4. Find the volume.

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Calculate exactly the volume of the solid obtained by rotating the area delimited by y=(x-2)^2 and…

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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 volume of the solid whose base is the circle x² + y² = 49 and the cross sections…

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Q: f(x) = 19 – x², x 20 f(x) = x - 3, x 2 0

A: We will find the volume as following.

Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

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Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.