3. The ellipse with equation ² + 2 = 1 can be parametrized as follows:F(t) = (a cos(1))b sin(t)where 0 ≤ t ≤ 27. Find the area of the ellipse. (Hint: Use Green'sTheorem with F(x, y) = ( ).)a

Answered: Image /qna-images/answer/1c37e3c8-2015-4914-be39-4df337aa73f9.jpg

Answered: 3. The ellipse with equation += 1 can…

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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44. The parametric equation of the rectangular hyperbola #(y + 1) = c² is A. 1 = ct, y B. I = 1+ ct, C. z = ct, y = - I = D. I = ct, y =
23. What is the center of the ellipse with the equation (x-7)2 (y+4)2 1 ? 16 25 a. (7,4) b. (-7,4) c. (-4,7) d. (4, -7) e. (4,5) 24. Given: cos A = ² , A is in QIV, sin B = -12 180°

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3. The ellipse with equation += 1 can be parametrized as follows: a cos(t) bsin(t) where 0≤ t ≤ 27. Find the area of the ellipse. (Hint: Use Green's Theorem with F(x, y) = (-7).) b F(t) = a