1. a. Sketch the region R of integration for 1 I = -dzdy. e"(1 – rev 2) b. Define a transformation by setting u = re", v = xeV Sketch the region corresponding to R in the (u, v)-plane. C. By using the transformation introduced in Question 3.1.b, evaluate the integral I. (You may assume the technical conditions required to use the transformation are satisfied.) 2. Sketch the region of integration corresponding to J = drdy, (log z) and evaluate J.
1. a. Sketch the region R of integration for 1 I = -dzdy. e"(1 – rev 2) b. Define a transformation by setting u = re", v = xeV Sketch the region corresponding to R in the (u, v)-plane. C. By using the transformation introduced in Question 3.1.b, evaluate the integral I. (You may assume the technical conditions required to use the transformation are satisfied.) 2. Sketch the region of integration corresponding to J = drdy, (log z) and evaluate J.
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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Question
Transcribed Image Text:1.
a. Sketch the region R of integration for
1
el
1
I
-drdy.
e" (1 – xev 2)
b. Define a transformation by setting u = xe", v = xe Y. Sketch the region corresponding to R in the
(u, v)-plane.
c. By using the transformation introduced in Question 3.1.b, evaluate the integral I. (You may assume the
technical conditions required to use the transformation are satisfied.)
2. Sketch the region of integration corresponding to
1
J =
dzdy,
(log z)3
and evaluate J.
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