evaluate the following integrals in the given regions. 5) S 37 + 1 2(2-2)2 dz r...
evaluate the following integrals. please show procedure. Develop g(z)= 1/(z-1)(z-2) into a laurent series that is valid for the following anular domains. 4) 23. 01/22 dz Y a) r=1121=5), bydle-il-24 Sol: Ti r = {12-21 = 2 3 4 Sol: Ti 1 5) S dz 23(2-1) 4 r 6) J ze² z ²-1 dz 8=2 Izl=2) Sol: 2li cash (1) Y 9) 0시레시 (o) 0 12-2[J.
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.
evaluate the following integrals. delvelop h(z)= z/((z+1)(z-1)) into a laurent series, in the followinf domains. 7) s r=4121 = { Y 2z-1 dz z?(??+1) de | +į sene - 8) 5" Sol: 40 2T 9) COS O de 3 tsen o O ) 0 ( 2 + 1 / 3 3ے 21- او(ح1
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
Evaluate the following integrals. For each of them, draw and label a diagram showing the contour and the singularities 1 dz. (z 1) exp (a) I _ [Cauchy principal value] (Ъ) I dz _ a+20) 24 Evaluate the following integrals. For each of them, draw and label a diagram showing the contour and the singularities 1 dz. (z 1) exp (a) I _ [Cauchy principal value] (Ъ) I dz _ a+20) 24
Evaluate each of the following integrals Z 2z Je cos dz i. 4/ (Xcos (4x)dx 2 ii. t'sin 2t dt ii Sy°cos 3ydy iv. 14x3-9х*+7х+3)е*dx- 2 V.
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...
1. Evaluate each of the following indefinite integrals. 6 Idx b. S [2 cost – 5 sin t]dt x*- x -dx c. d. I cotx sec?x dx
f(x)dx=_, | f(r)dr? Given that what IS Preview answer Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1-5, A2-4, A3-2 and A4:1 y-fx) A1 АЗ A2 igure is NOT to scale Enter your answer as a whole number Evaluate dx. 1 + e1.82z 71.7 answer If -16 f(x)dx = 12 and r-16 g(x)dx = 15 J- 85 and -16 h(z)dz 21 -85 what does the following integral...
Consider: S (x + 2 x + y)z ds, C: r(t)= (2+, 1-37, 57 +5), te[0,1] Which one of the following "regular" integrals represents the above line integral. -5/38 | 2+31 – Ide a. Ob och 2-33+ 101 -551-pat Od -s/38 1-10