* Consider (3x4 + 5) dx + (y5 + 3y² - 1)dy C C is the boundary of a rectangular region with vertices (1,2), (1,3), (3,2), (3,3) 1. Evaluate using Green's Theorem. ƏQ OP [ P dx + Q dy = f (0-0) da dA əx dy

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Calculus 3: Question 1
* Consider (3x4 + 5) dx + (y5+ 3y²-1)dy
C
C is the boundary of a rectangular region with vertices (1,2), (1,3), (3,2), (3,3)
1. Evaluate using Green's Theorem.
(x-35)
[Pdx + Q dy=[[ (OOP) da
dA
D
* Let F = (2x, -y,x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1)
2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem.
FH
A
F.dr =
curl F-n dA
43°F
Transcribed Image Text:* Consider (3x4 + 5) dx + (y5+ 3y²-1)dy C C is the boundary of a rectangular region with vertices (1,2), (1,3), (3,2), (3,3) 1. Evaluate using Green's Theorem. (x-35) [Pdx + Q dy=[[ (OOP) da dA D * Let F = (2x, -y,x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1) 2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem. FH A F.dr = curl F-n dA 43°F
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