Calculus III Spring 2009 Exam 2 Practice Problems
Calculus III Spring 2009 Exam 2 Practice Problems
Calculus III Spring 2009 Exam 2 Practice Problems
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. Use the result of part (a) to deduce the arithmetic-geometric mean inequality: if a, b, c ≥<br />
0 then<br />
3√ a + b + c<br />
abc ≤ .<br />
3<br />
When can equality hold?<br />
Problem 10. Find the absolute maximum and minimum values of f(x, y) = e −xy on the<br />
region {(x, y) | x 2 + 4y 2 ≤ 2}.<br />
Problem 11. Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and<br />
above the rectangle R = [0, 1] × [−2, 3].<br />
2
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