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Use Green's theorem for the vector-field F and the curve C given in question 3. 2, and evaluate the corresponding double integral. (Note that the line integral from question 2 should lead to the same value as the double integral from question 3.)

Use Green's theorem for the vector-field F and the curve C given in question 3. 2, and evaluate the corresponding double integral. (Note that the line integral from question 2 should lead to the same value as the double integral from question 3.)

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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2. Suppose Fry i+ry2 j. Evaluate fF.dr, where C is the boundary с of the region that lies above the z-axis, bounded by y = 0 and ² + 3² = 9, oriented counter-clockwise. 3. Use Green's theorem for the vector-field F and the curve C given in question 2, and evaluate the corresponding double integral. (Note that the line integral from question 2 should lead to the same value as the double integral from question 3.)
Transcribed Image Text:2. Suppose Fry i+ry2 j. Evaluate fF.dr, where C is the boundary с of the region that lies above the z-axis, bounded by y = 0 and ² + 3² = 9, oriented counter-clockwise. 3. Use Green's theorem for the vector-field F and the curve C given in question 2, and evaluate the corresponding double integral. (Note that the line integral from question 2 should lead to the same value as the double integral from question 3.)
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