se 7. In the following sketch y and compute ſƒ(z)dz. 4 f(z) = Re(z), y(t) = Reit, 0 ≤ t ≤ 2π. f(x+iy) = y = x + (3x²)i, y(t) = ti 0 ≤t≤1 1≤t≤2 (t-1) + ti (3−t)(1+i) 2≤t≤3
se 7. In the following sketch y and compute ſƒ(z)dz. 4 f(z) = Re(z), y(t) = Reit, 0 ≤ t ≤ 2π. f(x+iy) = y = x + (3x²)i, y(t) = ti 0 ≤t≤1 1≤t≤2 (t-1) + ti (3−t)(1+i) 2≤t≤3
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:Exercise 7. In the following sketchy and compute f(z)dz.
(1) ƒ(z) = Re(z), y(t) = Reit, 0 ≤ t ≤ 2π.
(2) f(x+iy) = y − x + (3x²)i,
y(t) =
=
ti
(t-1) + ti
(3− t)(1+i)
0 ≤ t ≤1
1≤ t ≤2
2≤ t ≤3
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