complex variable question. i need readable
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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 the negative real axis or go through z = 0.
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complex variable question. i need readable
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2. Evaluate the contour integrals, explaining your answers. Give...
2. Evaluate the contour integrals, explaining your answers. Give your answers in the form a+bi, where...
2. Evaluate the contour integrals, explaining your answers. Give your answers in the form a+bi, where a and b are real a) So 22 dz, where C is any contour which begins at 2 = 1 and ends at z = 2i b) S dz where C is any contour which begins at z=1 and ends at z = 2i, and does not cross the negative real axis or go through 2 = 0.
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 vertice...
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 vertice...
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))
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary...
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.
I sinta fosinta 3. (40 points) Evaluate the following integrals: (a) (10 points) sin(2 + 7)dz,...
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...
1. (20 points) Let C be any contour from z = -i to z = i,...
1. (20 points) Let C be any contour from z = -i to z = i, which has positive real part except at its end points. Then, consider the following branch of the power function zi+l; f(3) = 2l+i (1=> 0, < arg z < Now, evaluate the integral Sc f(z)dz as follows: (a) (5 points) First, explain why f(z) does not have an antiderivative on C, but why the integral can still be evaluated. (b) (5 points) Then, find...
Complex analysis question (2) please 2:30 PM Wed May 1 Not Secure files.isec.pt 301 4.3 Evaluation of Definite Integrals where (w) adr. We know from the Gaussian integral that 1(0) V2π, so our conclus...
Complex analysis question (2)
please
2:30 PM Wed May 1 Not Secure files.isec.pt 301 4.3 Evaluation of Definite Integrals where (w) adr. We know from the Gaussian integral that 1(0) V2π, so our conclusion will follow if we can show that I(W) 1(0) for every real w. To see this, consider the integral of g(z) = e-z2/2 around a rectangle Г = 1 + 11 + 111 + IV such as that shown in Figure 4.3.10 IV Figure 4.3.10: Contour...
QUESTION 2. PLEASE USE COMPUTER WRITING SO I CAN READ IT 52 Complex Analysis Exercises (1)...
QUESTION 2.
PLEASE USE COMPUTER WRITING SO I CAN READ IT
52 Complex Analysis Exercises (1) Does the function w = f(2) za have an antiderivative on C? Explain your answer. (2) Is (z dz = 0 for every closed contour I in C? How do you reconcile your conclusion with Cauchy's integral theorem? (3) Compute fc Log(x+3) dz, where is the circle with radius 2. cente at the origin and oriented once in the counterclockwise direction. (4) Let I...
Question 12 > Find all complex cube roots of 1-i. Give your answers in a +...
Question 12 > Find all complex cube roots of 1-i. Give your answers in a + bi form, separated by commas. *** round to 2 decimal places Question Help: Video Written Example Message instructor Submit Question x Question 11 > Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Calculate (2 + i). Give your answer in a + bi form 512 + i I x Question 10...
2. Evaluate the contour integrals, explaining your answers. Give your answers in the form a+bi, where a and b are real a) So 22 dz, where C is any contour which begins at 2 = 1 and ends at z = 2i b) S dz where C is any contour which begins at z=1 and ends at z = 2i, and does not cross the negative real axis or go through 2 = 0.
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))
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.
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...
1. (20 points) Let C be any contour from z = -i to z = i, which has positive real part except at its end points. Then, consider the following branch of the power function zi+l; f(3) = 2l+i (1=> 0, < arg z < Now, evaluate the integral Sc f(z)dz as follows: (a) (5 points) First, explain why f(z) does not have an antiderivative on C, but why the integral can still be evaluated. (b) (5 points) Then, find...
Complex analysis question (2)
please
2:30 PM Wed May 1 Not Secure files.isec.pt 301 4.3 Evaluation of Definite Integrals where (w) adr. We know from the Gaussian integral that 1(0) V2π, so our conclusion will follow if we can show that I(W) 1(0) for every real w. To see this, consider the integral of g(z) = e-z2/2 around a rectangle Г = 1 + 11 + 111 + IV such as that shown in Figure 4.3.10 IV Figure 4.3.10: Contour...
QUESTION 2.
PLEASE USE COMPUTER WRITING SO I CAN READ IT
52 Complex Analysis Exercises (1) Does the function w = f(2) za have an antiderivative on C? Explain your answer. (2) Is (z dz = 0 for every closed contour I in C? How do you reconcile your conclusion with Cauchy's integral theorem? (3) Compute fc Log(x+3) dz, where is the circle with radius 2. cente at the origin and oriented once in the counterclockwise direction. (4) Let I...
Question 12 > Find all complex cube roots of 1-i. Give your answers in a + bi form, separated by commas. *** round to 2 decimal places Question Help: Video Written Example Message instructor Submit Question x Question 11 > Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Calculate (2 + i). Give your answer in a + bi form 512 + i I x Question 10...
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