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Evaluate: UnitCircle where the contour is the unit circle centered about the origin. Show transcribed image...
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))
Question 5 Evaluate where is each of the following contour. (a) is the path from (1, ) to (0-1) along the unit circle (centered at angin) in counter-clockwise direction. (b) C is the straight line from (1, 0) to (0-1). (c) C is the path along the square with vertices at (1.11) traversed in the clockwise direction (d) is the path along the circle of unit radius centered at (1.1) traversed in the counter-clockwise direction
Calculate • (-3x, 2y). Nds where C is circle of radius 5 centered at the origin and N is an outward pointing unit normal vector of C. Answer: WA 2
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
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...
I got stucked in there (2nd photo) 12. Evaluate the surface integral IK 25-x'-y2 dS where S is the hemisphere centered at the origin with radius 5, for z20. 2) Evaluate the centered at the onqin wth radius S, o 220 a1 5(25-x-yds where S Is The hemisphere Tn Polar form 2. 2. 2 V2S-T 12. Evaluate the surface integral IK 25-x'-y2 dS where S is the hemisphere centered at the origin with radius 5, for z20. 2) Evaluate the...
Find the radical center of the following three circles: 1) The circle centered at the origin with radius 2; 2) The circle centered at (4,0) with radius 1; 3) The circle centered at (2,2) with radius 1.
2. Consider the circle of radius 9 centered at the origin in the ry-plane. It can be described by the equation 2 +y2 81. The sphere of radius 9 centered at the origin can be created by rotating the curve y v81- about the a-axis. (a) The volume of the sphere can be calulated using a definite integral. Set up that definite integral, but do not solve it. (b) Complete the calculation of the integral. 2. Consider the circle of...
3. Consider a finite square wel with a width a and a depth Vo centered about the origin. Show, by solving the Schrödinger equation and imposing continuity of and du/dz that for the first excited state: k cot(ka/2)-R where K is given by K- h2 with k being: ME 3. Consider a finite square wel with a width a and a depth Vo centered about the origin. Show, by solving the Schrödinger equation and imposing continuity of and du/dz that...