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Jeremy c. zodinliana Asked a Question
August 6, 2021 11:52 am 30 pts
cOMPLEX VARIABLES 9. 6. If z=e", then sin6 is given by 10. If z =e", then Cos 6 is given by 11. For the function Jz)(-1 (?-1) there is (a) a simple pole at Z =1 and a pole of order 2 at z = -1 (b) a simple pole at Z = -1 and a pole of order 2 at z = 1 (c) a simple pole at Z = 1 and a pole of order 3 at z=-1 (d) a simple pole at Z = -1 and a pole of order 3 at z = 1 12. For the function f{z) (in prob.11), the residue at z=1 is (a) 1/8 (b)-1/8 (C)% (d)- 13. For the function flz) (in prob.11), the value of 2R is (a) o (b) -1/8 (c)% (d)-% 14. The value of the integral COS 4, dz, where for circle C, z=1 is (a)- (b) -1/8 (c) % (d) 0 15. The value of the integral: dz, where for circle C, z| = 2 is (a) 4ti (b)-4ti (c) 2ri (d) 0 16. For the function f()= the residue at z-3 z- (a)o (b) 1 (c)-1 (d) )-377 17. For the function f(2)=, the value of 2Ris (-1 (+2) (a) 4/9 (b) 5/9 (c) 1 (d)-1 18. For the function f(z)=2z-5z+2 the zeros of flz) are at (a) 2, 5 (b) 2, % (c) 2,-% (d)-2, %
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• Lakshay bhardwaj
9. option c correct 10. option b is correct 11. option b is correct 