(a) Show that Sin z = 0 if and only if z=kπ, k=0₁ ± (b) show that isin l = sinx + sinh y, exty 2 2
(a) Show that Sin z = 0 if and only if z=kπ, k=0₁ ± (b) show that isin l = sinx + sinh y, exty 2 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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Question
Solve 5 please
Transcribed Image Text:#1. ca) perform the operation (1-√32)-10
(6) Find the cubic roots of 1+√3 2.
Express your answer in rectangular coordinates.
#2.
Define the operators 32/32 = 1/2 (124² +izy), 3 = 2 (x-7)
ду,
let f
#5.
= u(x, y) +iv(x, y), show that
(3)
#3. (a) If fiz) is analytic in a domain D and Ref = constant,
Show that fizi
= constant.
(b) If f(z) is analytic in a domain I and Imf=x²-y² + 2xy,
find flz).
#4. (a) Let fiz) = Log (z +1) ~ Log (2-1), Find flz), fi-z), f(i).
(b) let g(z) = ziti, find g(i).
14
=
de f
Sin z = 0 if and only if z=kπ, k=0, ±1, ±2....
(a) Show that
(6) show that | Sinz | ² = sin³x + sinh ²y, z=xtiy.
2
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