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43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. 2xyds +5xdy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5). a. 40 b. 160 c. 80 d. 10

43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. 2xyds +5xdy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5). a. 40 b. 160 c. 80 d. 10

Advanced Engineering Mathematics
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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https://www.bartleby.com/questions-and-answers/t.-evaluate-the-line-integral-over-the-given-curve-c.-x-a.-48-b.-96-c.-3yds-rt-9i-tj-0-t-s-4.-420-2-/73573d83-1a59-4299-af9f-d212ad894509. This solution was incorrect. It wasn’t even an answer choice. Please redo #43.
41. Evaluate the line integral over the given curve C. (9x + 3y)ds; r(t) = (- 9)i + tj, 0 ≤ i ≤ 4. a. -48 b. 96 c. 420√2 C. d.-228√/2 42. Use Green's Theorem and/or a computer algebra system to evaluate where C is the circle x² + y²=4 with counterclockwise orientation. e [x²ydx-xy²dy, a. 4x b. 2x с. -8л d. 2x e. None of these 43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. $2xydx + 5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5). a. 40 b. 160 3 c. 800 3 d. 10 X Page 14
Transcribed Image Text:41. Evaluate the line integral over the given curve C. (9x + 3y)ds; r(t) = (- 9)i + tj, 0 ≤ i ≤ 4. a. -48 b. 96 c. 420√2 C. d.-228√/2 42. Use Green's Theorem and/or a computer algebra system to evaluate where C is the circle x² + y²=4 with counterclockwise orientation. e [x²ydx-xy²dy, a. 4x b. 2x с. -8л d. 2x e. None of these 43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. $2xydx + 5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5). a. 40 b. 160 3 c. 800 3 d. 10 X Page 14
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