get the value of the following integrals
where c is the circle (abs)z=3
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz...
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
5. Compute the integrals 23 dz e2 22-9)' where C is the (positively oriented) circle with equation |z|-1. Justify 5. Compute the integrals 23 dz e2 22-9)' where C is the (positively oriented) circle with equation |z|-1. Justify
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
1. Evaluate the integrals: (a) S (x2 - y²)dz, where is the straight line from 0 to i. (b) e dz, where y is the circle of radius 1 centered at 2 traveled counterclockwise.
1 5. Let A = dz, (2 – 1)2(2 + 2i)3 where I is the circle [2] = 3 traversed once counterclockwise. The following is an outline of the proof that A = 0, justify each statement. Jo Tz – 1)*(x + 2133 (a) For R > 3 show that A = A(R) where A(R) Som 1 (z – 1)2(x + 2i)3 dz, and I'R is the circle (2|| = R traversed once counterclockwise. 21R (b) For R > 3...
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
I sinta fosinta 3. (40 points) Evaluate the following integrals: (a) (10 points) sin(2 + 7)dz, where C is the square with vertices at 2i, 3i, 1+ 3i and 1+2i, in this order. (b) (10 points) sin(22) $c 2+1 where C is the positively oriented (counter-clockwise) triangle with vertices (0,0), (2,0) and (0,5). (c) (10 points) cosh(22) -dz, (3-2) where is the negatively oriented (clockwise) circle centered at (1,1) of radius 2. (d) (10 points) dz, 2-1 where C consist...
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
9.31. Evaluate sc dz/(e 1) where C is the circle lal 3 integrated in the positive sense. Hint: Deform C into a contour C, that bypasses the singularities of the integrand.
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.