Y y=√√√1-x² x Show that the volume under the surface z = 5x²y over the half of the unit above the x-axis is unit³. unit. 3

Q: 2. Express the radius of a sphere as a function of the sphere's sur- face area. Then express the…

A:

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: A pontoon is to be made in the shape shown. The pontoon is designed by rotating the graph of…

A: Given: y=1-x216; -4≤x≤4. We have to find the volume of the pontoon obtained by rotating about the…

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

A: