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5. Let R be a rectangle inscribed into the ellipse x² y² 62 where a, b>0 a² + R = 1 A + = 1 (a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At b A = (272). 9/12 (i) how fast will the y-coordinate of A decrease?

5. Let R be a rectangle inscribed into the ellipse x² y² 62 where a, b>0 a² + R = 1 A + = 1 (a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At b A = (272). 9/12 (i) how fast will the y-coordinate of A decrease?

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 R be a rectangle inscribed into the ellipse x² y² a² 6² + where a, b > 0 R 1 A 2.2 a² + 6² = 1 (a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At a b 4- (272) A = 9/12 (i) how fast will the y-coordinate of A decrease?
Transcribed Image Text:5. Let R be a rectangle inscribed into the ellipse x² y² a² 6² + where a, b > 0 R 1 A 2.2 a² + 6² = 1 (a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At a b 4- (272) A = 9/12 (i) how fast will the y-coordinate of A decrease?
(a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At a b A = (272). /2 √2 (i) how fast will the y-coordinate of A decrease? (ii) how fast will the area of R change? (b) Find the coordinates of A when the area of R is maximized.
Transcribed Image Text:(a) Suppose the x-coordinate of A is increasing at a constant rate 1 unit/s. At a b A = (272). /2 √2 (i) how fast will the y-coordinate of A decrease? (ii) how fast will the area of R change? (b) Find the coordinates of A when the area of R is maximized.
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