DETERMINE THE FOLLOWING: 1. z-6 1 2. z5; graph the roots 3. In(z), n = 0,1,2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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ME50-2 E01
• REVIEW EXCERCISES ON COMPLEX ANALYSIS
GIVEN: z =
0.866 + 0.51
DETERMINE THE FOLLOWING:
1. z-6
1
2. z5; graph the roots
3. In(z), n =
0,1,2
4. csc(z)
5. u(0.866,0.5) and v(0.866,0.5)
if w = f(z) = z2 by substituting
a) z =
0.866 + 5i
b) z = rete = ???
6. u and v, if w = f(z) = vz and z = relo
7. Check nos. 5 and 6 through the values of u(x, y) an
v(x, y).
Transcribed Image Text:ME50-2 E01 • REVIEW EXCERCISES ON COMPLEX ANALYSIS GIVEN: z = 0.866 + 0.51 DETERMINE THE FOLLOWING: 1. z-6 1 2. z5; graph the roots 3. In(z), n = 0,1,2 4. csc(z) 5. u(0.866,0.5) and v(0.866,0.5) if w = f(z) = z2 by substituting a) z = 0.866 + 5i b) z = rete = ??? 6. u and v, if w = f(z) = vz and z = relo 7. Check nos. 5 and 6 through the values of u(x, y) an v(x, y).
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