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1. Let V (x, y) 1+ x2 + y 1+x² + y* and let F(t) = x(t)î + y(t)ĵ where cos(t) (cos (t) + cos²(t)(2 sin² (t) – 3) + sin (t)(sin²(t) + 9)) cos (t) + 2 cos²(t)(sin (t) – 3) + (sin (t) + 3)² r(t) sin(t) (cos (t) + cos²(t)(2 sin²(t) – 9) + sin (t)(sin²(t) + 3)) cos“ (t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² y(t) for 0

1. Let V (x, y) 1+ x2 + y 1+x² + y* and let F(t) = x(t)î + y(t)ĵ where cos(t) (cos (t) + cos²(t)(2 sin² (t) – 3) + sin (t)(sin²(t) + 9)) cos (t) + 2 cos²(t)(sin (t) – 3) + (sin (t) + 3)² r(t) sin(t) (cos (t) + cos²(t)(2 sin²(t) – 9) + sin (t)(sin²(t) + 3)) cos“ (t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² y(t) for 0

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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1. Let 2x V (x, y) = + 1+x² + y* 1+ x² + y* and let F(t) = x(t)î+ y(t)ĵ where cos(t) (cos*(t) + cos²(t)(2 sin²(t) – 3) + sin (t)(sin²(t) + 9)) cos“(t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² ¤(t) sin(t) (cos (t) + cos²(t)(2 sin²(t) – 9) + sin² (t)(sin²(t) + 3)) cos“(t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² y(t) - for 0 <t< 2. Compute | V . dĩ. dr. Where C is the oriented curve defined by r(t).
Transcribed Image Text:1. Let 2x V (x, y) = + 1+x² + y* 1+ x² + y* and let F(t) = x(t)î+ y(t)ĵ where cos(t) (cos*(t) + cos²(t)(2 sin²(t) – 3) + sin (t)(sin²(t) + 9)) cos“(t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² ¤(t) sin(t) (cos (t) + cos²(t)(2 sin²(t) – 9) + sin² (t)(sin²(t) + 3)) cos“(t) + 2 cos²(t)(sin²(t) – 3) + (sin²(t) + 3)² y(t) - for 0 <t< 2. Compute | V . dĩ. dr. Where C is the oriented curve defined by r(t).
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