Question 2 The region defined by the inequality a2 + 2xy + 2y2 ≤ 4 is the interior of an ellipse: -2 2 0 Let D denote this region. Find SCO O 647 sin(1) O 128 sin(1) 327 sin(1) O 87 sin(1) -2 cos(x² + 2xy + 2y²) dydx, 16π sin(1) 47 sin(1) by making the substitution x=2u - 2v y = 2v to show that u²+² ≤ 1. 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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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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