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Homework 3. Due: Thursday, 15 February 2018 Work Independently. Show All Necessary Solutions

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Homework 3.

due: Thursday, 15 February 2018


Work independently. Show all necessary solutions.

1. Evaluate the following double integrals.


Z 1Z 1
x
(a) 2
dydx
0 0 (xy + 1)
Z 2 Z 2−x
2 2
(b) ey−y dydx
1 0

2. SET UP an iterated double integral that gives the volume of the solid bounded above by the surface
z = 10 − 4x − 2y, below by the xy-plane, and on the sides by the planes y = 0, y = 3x, and x = 1.

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