Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2)...
2. Evaluate Scf()dz for the following f() and C f(z) = zz2 and C is the se micircle z = 2e10, 0 a. θ π. b. fz)2an C i the circle lz -il 2. z2+4 2. Evaluate Scf()dz for the following f() and C f(z) = zz2 and C is the se micircle z = 2e10, 0 a. θ π. b. fz)2an C i the circle lz -il 2. z2+4
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining −1 to i. (z¯ = z bar) 2. Evaluate the complex integral: ∫ C [iz^2 − z − 3i]dz, where C is the quarter circle with centre the origin which joins −1 to i.
c. Evaluate ,f(z) dz with า the circle of radius 1 centered at the origin and traveled once counterclockwise ˊ们: (1-2 For real twith-1 < t < 1 and +12)-1 Explain why f(:)) has an expansion of the form in C , let f(z) be defined by fG)- a. b. Compute Uo(t), Ui(t), and Uz(t) in terms of t. c. Recalling that t is a real number smaller than 1 in absolute value, find the radius of convergence of this...
5.30. UITULU eur 5.39. Evaluate z dz when : >0 and C is the circle Izl = 3. 2 Ti I (z2 + 1)
Q5. a) Let f(z) be an analytic function on a connected open set D. If there are two constants and C, EC, not all zero, such that cf(z)+ f(2)=0 for all z € D, then show that f(z) is [4] a constant on D. b) Evaluate the contour integral f(z)dz using the parametric representations for C, where f(2)= and the curve C is the right hand half circle 1z| = 2, from z=-2 to z=2i. [4] c) Evaluate the contour...
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz , donde C (z+, uientes: A) φ 2 dz e*"dz , donde C (z+, uientes: A) φ
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz , donde C (z+, uientes: A) φ
please solve +y-1. 15.) Evaluate: F dr, where F(x, y) = xyi +(y+ x) j and C is the unit circle +y-1. 15.) Evaluate: F dr, where F(x, y) = xyi +(y+ x) j and C is the unit circle
105) Evaluate fi descontos 25 ) dz by any dz by any means, where C is the circle given by 1z| = 3. Hyperbolic functions and their derivatives are given by +e-2 cosh 2 = e+e-> sinh z e sinh z= 2 dz de cosh z = sinh 2, sinh z = cosh z