A solid is formed by rotating the region bounded by the curve y = e-5/2 and the x-axis between a = 0 and x = 1, around the x-axis. The volume of this solid is (1-e-5). Assuming the solid has constant density 8, find a and ÿ. x = y =

Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

A: Given:f(x) = -x2 + 5x about y-axis on interval (0,5)

Q: A solid is generated by revolving the region bounded by y = (1/ 2) x2 and      y = 2 about the…

A: The region is bounded by y=12x2 and y=2. We have to find the diameter of the hole.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Calculate the volume of the solid obtained by rotating the area bounded by f(x) the x(x + 1) X-axis,…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: The region is bounded by the graphs of the equations .The solid is generated by revolving the region…

Q: Find the volume of tho solid bounded by z= 11-11 (x y) and z= ( y?)²-1. The volume is (Type an exact…

A: To find -

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: The formula for volume by shell method about y axis is V=∫ab R(x)h(x)dx Intersection point y=0,…