Unformatted text preview: by the lines x = 0, y = 0, x + y = 1. 7. Use polar coordinates to ﬁnd the surface area of the part of the surface z = x 2 + y 2 above the region in the ﬁrst quadrant bounded by x 2 + y 2 = 1. 8. Evaluate the triple integral R R R E xdV , where E lies under the plane z = 1 + x + 2 y and above the region in the xyplane bounded by y = √ x , y = 0, x = 1. NOTE: These problems do not cover all the material that you will be held responsible for on Exam 2. You should look at examples from 15.5, 15.6, and 15.8 as well....
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 Spring '06
 YUKICH
 Calculus, Critical Point, Rate Of Change, minimum values, local minimum values

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