The region defined by the inequality a2 + 2xy + 2y2 ≤ 4 is the interior of an ellipse:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2) please correctly and handwritten
Question 2
The region defined by the inequality a2 + 2xy + 2y² ≤ 4 is the interior of an ellipse:
-2
2
0
-2
Let D denote this region. Find
647 sin(1)
1287 sin(1)
O 327 sin(1)
O 87 sin(1)
O 167 sin(1)
O 47 sin(1)
cos(z² + 2xy + 2y²) dyda,
by making the substitution
x = 2u - 2v
y = 2v
to show that u²+² < 1.
4
Transcribed Image Text:Question 2 The region defined by the inequality a2 + 2xy + 2y² ≤ 4 is the interior of an ellipse: -2 2 0 -2 Let D denote this region. Find 647 sin(1) 1287 sin(1) O 327 sin(1) O 87 sin(1) O 167 sin(1) O 47 sin(1) cos(z² + 2xy + 2y²) dyda, by making the substitution x = 2u - 2v y = 2v to show that u²+² < 1. 4
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