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
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Question 2 please. Calc 3 -double integration of non rectangular shapes
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2.
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
Transcribed Image Text:: /Users/willhoff/Downloads/2.py =================== MMNMin © |00|0 1 in ON D N G X 0I i docs.google.com/document/d/1fJPbWBXDwXxC630F7g_2ssxklx-7RGya5ZOxgoVotjU/edit pps Dashboard General NU stuff -.. Y Crowdmark P MyLab & Masterin... N CAESAR - Northw... P GEN ENG_205-1... Math Extra Practice Problems ☆ D O A Share File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago A, P B I U A 1E E - 100% - Normal text Arial 10 1 2. 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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