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Teaching Since: Apr 2017
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  • MBA IT, Mater in Science and Technology
    Devry
    Jul-1996 - Jul-2000

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    Devry University
    Mar-2010 - Oct-2016

Category > Math Posted 20 Apr 2017 My Price 7.00

MATH 254, Summer 2016

Questions 1-11. Please solve while showing your work 

 

 

MATH 254, Summer 2016
Practice Questions for the Final Exam
Question 1: Determine the imaginary part of (1 − i)20 .
2+i
).
Question 2: Evaluate Im( 2−i Question 3: Find all solutions for the equation z 3 = −27i. Sketch the solutions in the complex plane.
Question 4: Determine if f (z) = x3 − 3xy 2 − i(y 3 − 3x2 y) is analytic. If yes, find its derivative.
Question 5: Determine if f (z) = Im(z) + (z ∗ )2 is analytic. If yes, find its derivative.
Question 6: Find the Laurent series for f (z) =
Question 7: Evaluate the integral
lation. R 2Ï€ Question 8: Evaluate the integral
tion. R∞ 0 dx
3+sin x dx
−∞ 3+x4 1+z
z(1−z) valid for |z| > 1. using the residue theorem. Explain each step in your calcu- using the residue theorem. Explain each step in your calcula- R ∞ 2 +4
Question 9: Evaluate the integral −∞ xx4 +16
dx. Explain each step in your calculation. [Note that the
algebra in this problem gets a bit tedious at the end.]
ez
dz,
C z 2 (z−i)(z−2i) Question 10: Evaluate the integral
step in your calculation. H Question 11: Evaluate the integral R 2Ï€
0 cos(3θ)
5−4 cos θ dθ. 1 where C is the circle with radius 1.5.Explain each

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ComputerScienceExpert
(11)
Status NEW Posted 20 Apr 2017 07:04 AM My Price 7.00

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