The region bounded by x2 = 4y and y = x/2 is to revolve about y-axis. What is the volume generated? Round your answer into 2 decimal places.

Q: 5. Evaluate ff ex²dA where R is the triangular region bounded by y = 2x, y = 0, and R x = 2.

A: We need to evaluate the given double integral ∬ex2dA over R. Where R is triangular region bounded by…

Q: Find the area of the region enclosed by the curves. 2 X y=x²-81 and y=+81

A:

Q: The section delimited by the function 4x² + y² = 4 in the first quadrant rotates around the x-axis.…

A: We have to find the volume of the solid generated.

Q: y = 5/x, y = 5/x², x = 7 y

A:

Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: rea of the region enclosed by

A: we have to find the area of the region bounded by the curve, y=2-x2 .....(1) and the line y=-x

Q: Determine the volume when the region, bounded by the given equations,

A:

Q: 3. Sketch the region enclosed by the curves/lines x = y, y =÷, x = 3 and find its area.

A: Given equations: x=y……1y=1x……2x=3……3

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

A:

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 bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

A: To find the area of the region bounded by the curves y=1x+82, y=4and x-axis i.e. y=0 using vertical…

Q: 7. Find the area of the region enclosed by the curves y=x²-2 and x = y.

A:

Q: Q5// Sketch and Find the area of the region enclosed by y = √√x and y = ³√√x.

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

A:

Q: Find the area of the region included between 4y 3x2 and the line 3x - 2y + 12 = 0. %3D

A: Solution of question as follows

Q: find the region endlased R by the cunes V=12-2y +1 and Y= -2+2x ャ4.

A: Answer

Q: Find the area of the region bounded by the curves 1 y y = 4 and the x-axis using vertical strip.…

A: We have to solve given problems:

Q: Find the area of the region bounded by the hyperbola 25x2 - 4y2 = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3 Please see…