2. Evaluate the contour integrals, explaining your answers. Give your answers in the form a+bi, where...
complex variable question. i need readable handwriting/typing 2. Evaluate the contour integrals, explaining your answers. Give your answers in the form a + bi, where a and b are real. a) R C z 2 dz, where C is any contour which begins at z = 1 and ends at z = 2i b) R C 1 z dz where C is any contour which begins at z = 1 and ends at z = 2i, and does not cross...
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.
1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For indefinite integrals give your final answer in the variable x. Show work. THE WORK YOU SHOW MUST BE WRITTEN CORRECTLY. A. $()(**)dk 1. Continued. - B. -dx C. [vcosô sinº Odo
4. Evaluate the following integrals: f, where contour γ is a circle of radius 2 centered at the origin. z.İ f, -1-i,1-i,1+i,and-1+i. (z-0.1-1); where contour γ is the square with the four vertices ill) Jo (2+7 cos(e)) 4. Evaluate the following integrals: f, where contour γ is a circle of radius 2 centered at the origin. z.İ f, -1-i,1-i,1+i,and-1+i. (z-0.1-1); where contour γ is the square with the four vertices ill) Jo (2+7 cos(e))
4. Evaluate the following integrals: f, where contour γ is a circle of radius 2 centered at the origin. z.İ f, -1-i,1-i,1+i,and-1+i. (z-0.1-1); where contour γ is the square with the four vertices ill) Jo (2+7 cos(e)) 4. Evaluate the following integrals: f, where contour γ is a circle of radius 2 centered at the origin. z.İ f, -1-i,1-i,1+i,and-1+i. (z-0.1-1); where contour γ is the square with the four vertices ill) Jo (2+7 cos(e))
Find the three cube roots of -343i. (Give your answers in the form a + bi, where a and b are real numbers. Enter your answers as a comma-separated list.)
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
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...
ex4.19 Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4) Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4)