(A) Suppose R is the region in the fourth quadrant bounded by the circle x² + y² = 9, 0. Sketch the region. the lines y = -x, and a (B) Use the region R from part (A), and evaluate the integral: [[ cos(x² + y²)dA.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
(A) Suppose R is the region in the fourth quadrant bounded by the circle x² + y² = 9,
the lines y=-x, and x = 0. Sketch the region.
-
(B) Use the region R from part (A), and evaluate the integral:
[[ cos(x² + y²)dA.
Transcribed Image Text:(A) Suppose R is the region in the fourth quadrant bounded by the circle x² + y² = 9, the lines y=-x, and x = 0. Sketch the region. - (B) Use the region R from part (A), and evaluate the integral: [[ cos(x² + y²)dA.
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