9.31. Evaluate sc dz/(e 1) where C is the circle lal 3 integrated in the positive...
Evaluate Sc(1/22)dz, where C is the line from 1 to 1 + 5i followed by the line from 1+5i to -1 + 5i followed by the line from -1 + 5i to -1. (a) 0 (b) 2 (e) -2 (d) i (e) None of the above. Which of the following integrals is not equal to zero ? a) Sal=10 ze dz b) |--2--(2 – 2)e+/-dz Jul 2 d) cosa 282dz 4) J- 2 e) Si=1 (2–1jadz Which of the numbers...
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...
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 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
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
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
Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2) is defined as follows a) f(z) = z2+z2+z_ b) f(x) = tan z c) f() = cosha
Evaluate the integral 5. Ten dz, where C is the boundary of the square with vertices at the points 0, 1, 1+i and i, with a counter clockwise orientation. What is the integral over the reverse contour?
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.