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Use Green's Theorem to Evaluate the Line Integral Along the Positively

Question 71

Multiple Choice

Use Green's Theorem to evaluate the line integral along the positively oriented closed curve CC .
C3xydx+4x2dy\oint _ { C } 3 x y d x + 4 x ^ { 2 } d y , where C\mathrm { C } is the triangle with vertices (0,0) ,(3,4) ( 0,0 ) , ( 3,4 ) , and (0,4) ( 0,4 ) .


A) 6
B) 60
C) 30
D) 66

Correct Answer:

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