What is the volume of the solid generated when the region bounded by the graph of y = 4x, the horizontal line y = 8, and the y-axis is revolved about the horizontal line y = 8 ? A B (С) D 8T 128K 3 256x 3 512x 3

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

A:

Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

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

A:

Q: Q2 a) Find the total area of the region enclosed by the curves in below figure: (-2,8) y-axis (2,8)…

A: Given problem is :

Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: The base of a solid is the region enclosed by the graph of y = vln x, the line x = e, and the…

A: Given,  The base of solid is the region enclosed by y=ln(x), the line x=e and the x-axis. Also…

Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

A: Metal casting limits is x-y=4,   x=y2-4y+4 (about x -axis) Now v=π∫x1x2fx2-gx2dx

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and