Find the volume of the solid obtained by rotating the region between the curves y = 3x - x³ and x-axis about the y-axis (Use 3.14). %3D

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 function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: 1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid…

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Q: Find the area of the region between the curves (x = y² ) and (x = y + 2 ) in the first quadrant.

A: The formula to find the area under the region between the curves is Area=∫y=ay=b[f1(y)-f2(y)]dy.…

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

A: We will find the volume as following.

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 the area between the curves y = and y 3x +2. %3D

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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.

Q: Find the volume and the surface area that generated due to rotate the bounded area between the curve…

A: I use washer method to find volume about x axis

Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2…

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