Q.5 Using Green's theorem to evaluate f[(2x² – y²)dx + (x² + y²)dy], where C is the boundary of the area enclosed by the x-axis and upper half of circle x2 + y² = a². {Ans: 4a³. 3

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.2PS: By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form...
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Q.5 Using Green's theorem to evaluate f.[(2x2 – y²)dx + (x² + y²)dy], where C is the boundary of
the area enclosed by the x-axis and upper half of circle x2 + y2 = a?. (Ans: )
4a³.
3
Transcribed Image Text:Q.5 Using Green's theorem to evaluate f.[(2x2 – y²)dx + (x² + y²)dy], where C is the boundary of the area enclosed by the x-axis and upper half of circle x2 + y2 = a?. (Ans: ) 4a³. 3
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