Question

Set up the integral to find the volume of the tetrahedron bounded by the planes x...

Set up the integral to find the volume of the tetrahedron bounded by the planes x + 2y + z = 8, x = 2y, x = 0, and z = 0, using a:

a) double integral with order dydx.
b) double integral with order dxdy.
c) triple integral with any order of integration.

YOUR WORK SHOULD INCLUDE A SKETCH OF THE REGION YOU ARE INTEGRATING OVER AND A CLEAR DESCRIPTION (CAN USE THE PICTURE HERE) OF HOW YOU ARE GETTING YOUR BOUNDS.

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Answer #1

| (8-x-2y) dy dx 170,0,8) . x=0 y = / 750 y ...-- -- I 420) 2+24 28 yzo x=0 4 8-24 . . (8,0,0) Izzy . tl 1 (8-x-2y) dady y=2

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