Evaluate or find, if possible. fxy for (a) Evaluate fry f(x, y) = cot ► V 2 4x² +9y²

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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A-E please

(e) When does the complex series
n
i
Σ (-²² + ¹)
2
n=1
converges?
In addition, plot its region of convergence.
Transcribed Image Text:(e) When does the complex series n i Σ (-²² + ¹) 2 n=1 converges? In addition, plot its region of convergence.
Evaluate or find, if possible.
(a) Evaluate fry for
f(x, y) = cot
-1
-
√4x² +9y²
(b) Find Im(f) for f(2)=
|z-1-2i|
(c) Find an equation of the tangent plane to
2
x² + 4y² + 5x²
13 at P(-2, 1,-1)
3 - 4i
2 - 3i
=
(d) Determine if the series
converges. If it is, find its sum
n=2
2z² +3z+1
-N
Transcribed Image Text:Evaluate or find, if possible. (a) Evaluate fry for f(x, y) = cot -1 - √4x² +9y² (b) Find Im(f) for f(2)= |z-1-2i| (c) Find an equation of the tangent plane to 2 x² + 4y² + 5x² 13 at P(-2, 1,-1) 3 - 4i 2 - 3i = (d) Determine if the series converges. If it is, find its sum n=2 2z² +3z+1 -N
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