Integrate the function F(z) = from zo = -2 to zg = 2 along the following paths. (a) The path Ca = C₁+C₂ + C3 shown in Fig. 1. (b) The path Cs shown in Fig. 1. (c) The path Co=C4 + Cs shown in Fig. 1. (d) (i) For which paths do you obtain the same result, and what can you conclude from that? (ii) Explain why don't you get the same result for all 3 paths. Hint: On the path C4 it is y=-z-2. On the path Cs it is y=-2. You can use these relation to e.g. eliminate y in favor of a (or vice versa). -3 2 Cb C₂ -2 3 2 3 Re
Integrate the function F(z) = from zo = -2 to zg = 2 along the following paths. (a) The path Ca = C₁+C₂ + C3 shown in Fig. 1. (b) The path Cs shown in Fig. 1. (c) The path Co=C4 + Cs shown in Fig. 1. (d) (i) For which paths do you obtain the same result, and what can you conclude from that? (ii) Explain why don't you get the same result for all 3 paths. Hint: On the path C4 it is y=-z-2. On the path Cs it is y=-2. You can use these relation to e.g. eliminate y in favor of a (or vice versa). -3 2 Cb C₂ -2 3 2 3 Re
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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B3
Transcribed Image Text:Integrate the function F(z) = from zo = -2 to zg = 2 along the following paths.
(a) The path Ca = C1+C2 + C3 shown in Fig. 1.
(b) The path Cb shown in Fig. 1.
(c) The path Ce= C4 + Cs shown in Fig. 1.
(d) (i) For which paths do you obtain the same result, and what can you conclude from that? (ii) Explain why
don't you get the same result for all 3 paths.
Hint: On the path C4 it is y=-r-2. On the path Cs it is yr-2. You can use these relation to e.g.
eliminate y in favor of a (or vice versa).
-3
Ey
3
C5
2
3
Rez
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