Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 9 – x², y = 0 81 -It 2 81 V =2x[ x19-x*)cx = V =4z[ x9-x)cx = 817 := 817

Q: Find the volume of the solid generated by revolving the area bounded by the given curve x + y = 6, y…

A: Given: The area bounded by the curves are: x+y=6y=3x=0 The solid is generated by revolving the area…

Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: Find the volume of solid generated when area bounded

A: Given: The area bounded by  y=x2 and y=x is revolve about x=2.

Q: nd the volume of the solid generated by revolving the area bounded by y = x2 a axis from [0, 2]…

A:

Q: The region bounded by the curves y² = 8x and 2y = x³ is revolved about the line y-axis. Find the…

A: Given the curves y2=8x, 2y=x3 revolved about the line y-axis.

Q: Find the volume of the solid generated by revolving the area bounded by x- y² + 4y-4 0 and x- y-4 0…

A:

Q: What is the volume of the solid rotated about the x-axis under the curve y = 2x -1 from x = 1 to x =…

A: Volume by disk method: The volume of a shaded region bounded by two curves over the interval [a,b]…

Q: Determine the volume of the solid generated when the region bounded by the curve y² = x³, x = 2 and…

A: The region bounded by the curves y2=x3 and x=2, can be shown by the following image : If we put x=2…

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

A: Given : The curves y=x2+4x+5  , y = 0.   To determine : The volume of the solid obtained by rotating…