Calculus 3 (MA 113), Spring, 2000—2001 NAME: BOX:

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Calculus 3 (MA 113), Spring, 2000—2001
Quiz 10 (Wednesday, April 25, 2001)
NAME:
BOX:
1. (5 pts) Find the absolute minimum value (and where it occurs) of f(x, y) = 2xy−xy 2 +3x2
on the unit disk ({(x, y) | x2 + y 2 1}). Show your work.
2. (5 pts) Set up a double integral to find the volume of the solid bounded by the graphs of
the equations: z = xy, z = 0, y = x, x = 1. first octant. Even if you use Maple, be sure to
give a rough sketch of the solid and the iterated integrals you are using.
3) (5 pts) No maple on this problem. Rewrite the iterated integral
and evaluate one of the iterated integrals.
2 3
0
x
y dy dx using dx dy,
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