EXAMPLE 2 Computing a volume Find the volume of the solid below the surface 1 f(x, y) = 2 + - and above the region R in the xy-plane bounded by the lines y y = x, y = 8 – x, and y = 1. Notice that f(x, y) > 0 on R.

Q: #3

A: First graph the functions roughly. It goes from x=0 to x=1

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A: Calculate the volume:  V=∫x=01∫y=02-2x2∫z=04-x2-y2dzdydx  =∫x=01∫y=02-2x24-x2-y2dydx…

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A: Explanation of the answer is as follows

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Q: volume

A: Note: Here we solving que A for another que B please submit the question again.  Given: Suppose R is…

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A: Given problem:- Find the volume of the solid bounded by z = 0, x = y2 ,z= 3, x = 4 - y2

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A: Answer