The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3D the volume of the solid of revolution. Find the exact value; write answer without decimals.

Q: the võlume of the reel-shaped solid formed by the revolution about the y-axis, of the part of the…

A: Introduction :Given , we have asked to calculate the reel shaped solid formed by revolution about…

Q: Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the…

A: Sol:- To find the volume of the solid using the given method, we can integrate the area of each…

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: Find The Volume Of The Prism (x+7)+ (3x-1)F+ (2x+3) ft.

A: The given figure is a rectangular prism with length l=2x+3breadth b=3x-1height h=x+7

Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

Q: Find the total surface area of a right cylinder in terms of pi if the height is 11 centimeters and…

A: We have to find total surface area of right circular cylinder in terms of π where height is 11 cm…

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

A: We will find the volume as following.

Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

A:

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

A:

Q: nd the volume of this 3 dimensional shape: 12 cm cm3 (enter your answer as a number wit Volume= 9 cm

A: Given the figure:- From the figure, height = 12 radius = 9