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Asked Nov 16, 2019
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Find the volume of the region bounded above by the paraboloid z x
ad below by the triangle enclosed by the lines y x, x 0, and x + y 4 in the xy-plane.
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Find the volume of the region bounded above by the paraboloid z x ad below by the triangle enclosed by the lines y x, x 0, and x + y 4 in the xy-plane.

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Expert Answer

Step 1

Given,

The equation of the paraboloid z = x2 + y2

Lines are y = x, x = 0 and x + y = 4

And x-y plane

Step 2

Now, draw the graph is below:

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y = 4-x 25 -(2, 2) y=x (0, 0) 2 X

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Step 3

Formula us...

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V = IJf(x,y)d4

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Tagged in

Math

Calculus

Integration