19. True or False. Write Tor F in the blank. You need not explain your answer. 1 pt each. If p(z) is a non-constant poly

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19 True Or False Write Tor F In The Blank You Need Not Explain Your Answer 1 Pt Each If P Z Is A Non Constant Poly 1 (83.93 KiB) Viewed 36 times

19. True or False. Write Tor F in the blank. You need not explain your answer. 1 pt each. If p(z) is a non-constant polynomial with all of its roots real, then there is some non-zero c E C so that c.p(2) is a polynomial with all real coefficients. There exists a one-to-one conformal map from the upper half-plane {y >0} onto the unit disk {lz/ <1}. There exists a one-to-one polynomial map from the upper half-plane {y >0} onto the unit disk {I21 <1}. f(z) = 73 is C-differentiable at zo = 0. The following questions refer to a simple closed piecewise smooth contour C in C and any polynomial P(2) so that P(2) #0 for all z on C. Also assume that the point zo is not on C. Sc P(2)dz = 0. Sc pla dz=0. Sc Pedz = 0. (2-20) SC 2-20) Pedz = 0. ( Sc Pedz=0. = () Jc (Pledz 0.