4 (a) Let F=xy²i+x²yj. (i) Calculate the value of the line integral [F.dr, where C is the path y=x¹², 0≤x≤1; y=1/x, 1≤x≤2.
4 (a) Let F=xy²i+x²yj. (i) Calculate the value of the line integral [F.dr, where C is the path y=x¹², 0≤x≤1; y=1/x, 1≤x≤2.
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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Transcribed Image Text:4
(a)
Let F=xy²i+x²yj.
(i)
Calculate the value of the line integral fF.dr, where C is the path y=x¹²,
0≤x≤1; y=1/x, 1≤x≤2.
Transcribed Image Text:(c)
Compute the value of the surface integral [(x² - xy + y²)dxdy, where S is the
triangular region 0≤x≤1, 0≤ y ≤x.
/rite your answer below:
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