(A) Suppose R is the region in the second quadrant bounded by the circle x² + y² = 4, the lines y = -x, and x = 0. Sketch the region. (B) Use the region R from part (A), and evaluate the integral: 3ex² + y² dA. | 1₁2² R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve both parts kindly
(2)
(A) Suppose R is the region in the second
quadrant bounded by the circle x² + y² = 4,
the lines y = -x, and x = 0. Sketch the region.
(B) Use the region R from part (A), and evaluate
the integral:
√
3ex² + y² dA.
R
Transcribed Image Text:(2) (A) Suppose R is the region in the second quadrant bounded by the circle x² + y² = 4, the lines y = -x, and x = 0. Sketch the region. (B) Use the region R from part (A), and evaluate the integral: √ 3ex² + y² dA. R
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