cos(x5) and Q(x, y) = (x+1)(x − 5)²⁰ cos(xy7 — y²). Apply Green's Theorem to evaluate the double integral (a). Let P(x, y) = (y − 1) (y - 3)²⁰ - 3)20 166 (09-SP). ᎧᏢ dA, ду where D is the entire rectangle with the four corners at (1, 1), (5, 1), (5,3), (1, 3).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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By Green’s Theorem, sometimes it is easier to evaluate a line integral by doing a double integral. Sometimes, the reverse is true; the double integral is easier.

 

cos(x5) and Q(x, y) = (x+1)(x − 5)²⁰ cos(xy7 — y²).
Apply Green's Theorem to evaluate the double integral
(a). Let P(x, y) = (y −
1) (y - 3)²⁰
- 3)20
166 (09-SP).
ᎧᏢ
dA,
ду
where D is the entire rectangle with the four corners at (1, 1), (5, 1), (5,3), (1, 3).
Transcribed Image Text:cos(x5) and Q(x, y) = (x+1)(x − 5)²⁰ cos(xy7 — y²). Apply Green's Theorem to evaluate the double integral (a). Let P(x, y) = (y − 1) (y - 3)²⁰ - 3)20 166 (09-SP). ᎧᏢ dA, ду where D is the entire rectangle with the four corners at (1, 1), (5, 1), (5,3), (1, 3).
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