Question 2 please. Calc 3 -double integration of non rectangular shapes
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 2 please. Calc 3 -double integration of non rectangular shapes

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5.
IR (4-5x2-y2) dA?
1. Find the volume of the wedge cut from the first octant by the cylinder z=63-7y and the plane
x+y=3
2. What region R in the xy-plane maximizes the value of
JJR (4-5x²-y° ) dA?
3. An improper double integral can often be computed similarly to an improper integral of one
variable. The first iteration of the following improper integral is conducted just as if it were a
proper integral. One then evaluates an improper integral of a single variable by taking appropriate
limits. Evaluate the following improper integral as an iterated integral.
--J-- 1/(x + 16) (y² + 1)) dx dy
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