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Let F(x, y) = (2x + e – y cos? x, xel + sin y). Let C1 be the path from (0,0) to (7,0) along the x-axis, and let C, be the path from (7,0) to (0,0) along the graph of y = sin r. (a) Evaluate the line integral F. dR. C1 (b) Let C = C¡ U C2. Use Green's Theorem to evaluate (c) Use the results in parts (a) and (b) to find the amount of work done by F in moving an object along C2.

Let F(x, y) = (2x + e – y cos? x, xel + sin y). Let C1 be the path from (0,0) to (7,0) along the x-axis, and let C, be the path from (7,0) to (0,0) along the graph of y = sin r. (a) Evaluate the line integral F. dR. C1 (b) Let C = C¡ U C2. Use Green's Theorem to evaluate (c) Use the results in parts (a) and (b) to find the amount of work done by F in moving an object along C2.

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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Let F(x, y) = (2x + e – y cos? x, xel + sin y). Let C1 be the path from (0,0) to (7,0) along the x-axis, and let C, be the path from (7,0) to (0,0) along the graph of y = sin r. (a) Evaluate the line integral F. dR. C1 (b) Let C = C¡ U C2. Use Green's Theorem to evaluate (c) Use the results in parts (a) and (b) to find the amount of work done by F in moving an object along C2.
Transcribed Image Text:Let F(x, y) = (2x + e – y cos? x, xel + sin y). Let C1 be the path from (0,0) to (7,0) along the x-axis, and let C, be the path from (7,0) to (0,0) along the graph of y = sin r. (a) Evaluate the line integral F. dR. C1 (b) Let C = C¡ U C2. Use Green's Theorem to evaluate (c) Use the results in parts (a) and (b) to find the amount of work done by F in moving an object along C2.
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