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6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 128a b) -128g c) 128g² d) -128g² 7) c(z+1)+dz= where c is the circle |z)=3 a) 4e b) 4 c) 4¹ d) 8ni 3

6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 128a b) -128g c) 128g² d) -128g² 7) c(z+1)+dz= where c is the circle |z)=3 a) 4e b) 4 c) 4¹ d) 8ni 3

Advanced Engineering Mathematics
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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6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 1280 b) -128g c) 128g² d) -128g² e² 7) Jc(z+1)<dz= where c is the circle |z|=3 4ni b) 4ni 4ni c) 3 8ni d) 3 8) Find the Laurent series of f(z) = (z-1)(z-2) if 1 < |z| < 2 2 3 a) 1/24 -+ b) + 2 + 3 + ² + 1 ² + 1 2 + 1 2 + 7/2² + **** c) +++ TELE d) NOTA
Transcribed Image Text:6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 1280 b) -128g c) 128g² d) -128g² e² 7) Jc(z+1)<dz= where c is the circle |z|=3 4ni b) 4ni 4ni c) 3 8ni d) 3 8) Find the Laurent series of f(z) = (z-1)(z-2) if 1 < |z| < 2 2 3 a) 1/24 -+ b) + 2 + 3 + ² + 1 ² + 1 2 + 1 2 + 7/2² + **** c) +++ TELE d) NOTA
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