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Let D be the region bounded by the line x + y = 1 and the curve cos² t F(t) = (si12 0 ≤t≤ T/2. (a) The region D is sketched for you, and the curved part of its boundary is parametrized above. Give a parametrization for the other part of the boundary. Y X (b) Let F(x, y) = (). Compute fF. dr for each of the two pieces comprising the boundary of D.

Let D be the region bounded by the line x + y = 1 and the curve cos² t F(t) = (si12 0 ≤t≤ T/2. (a) The region D is sketched for you, and the curved part of its boundary is parametrized above. Give a parametrization for the other part of the boundary. Y X (b) Let F(x, y) = (). Compute fF. dr for each of the two pieces comprising the boundary of D.

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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5. Let D be the region bounded by the line x + y = 1 and the curve cos² t (C124), 0≤t≤5/2. sin ¹2 r(t): = (a) The region D is sketched for you, and the curved part of its boundary is parametrized above. Give a parametrization for the other part of the boundary. Y X (b) Let F(x, y) = (). Compute fF. dr for each of the two pieces comprising the boundary of D. (c) Using Green's Theorem and your answer to part (b), find the area of D.
Transcribed Image Text:5. Let D be the region bounded by the line x + y = 1 and the curve cos² t (C124), 0≤t≤5/2. sin ¹2 r(t): = (a) The region D is sketched for you, and the curved part of its boundary is parametrized above. Give a parametrization for the other part of the boundary. Y X (b) Let F(x, y) = (). Compute fF. dr for each of the two pieces comprising the boundary of D. (c) Using Green's Theorem and your answer to part (b), find the area of D.
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