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Math 417 Complete the ollowing problems Show all cessery work Evaluate the Integralhr2D(z,de where C is...
can you please redo problem 3 i got the other questions
Show all work and indicate all solutions on separate paper and attach this sheet to your work. Solutions must be complete and supported by the work in order to receive full credit. For problems 1 and 2, find curl F and Div F (6 pts ech) 1. F = (2x®z,e", 3x2) 2. F = 4x sin z. 6y?e?, 2x'cos z + 2ye?) 3. Evaluate the line integral ( 9x”y...
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Parametrize, but do not evaluate, //f(x, y, z) ds, where f(x, y, z) 2y22 and S is the part , where J(,y,) 3 3 and 0 Sys4 of the graph of z2 over the rectangle -2 s . Parametrize, but do not evaluate, F.n ds, where F (,-,z) and S is the sphere of radius 2 centered at the origin. Calculate JJs xyz dS where S is the part of the cone parametrized by r(u, u) (ucos...
8. Evaluate the given integrals. Show all work: 8. Evaluate the given integrals. Show all work: (a) ſ 1 der x Inc (e) der 2+1 [" sin cos x de
For the problem #2, please show why "ao" and "an" are
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Math 4173 Problems for Tasksream 1 1. (Communication skill) Explain the difference between divergence of the vector field and curl of the vector field. 2. (Computation skill) if 0<x<4 Expand f(x) In a Fourier Sine Series. 8-x if 4<x<8 3. (Critical thinking) Evaluate the given integral, where C is the circle with positive orientation 2z-3 dz, C:z+3=3 (22-4(z+ 2)
These problems all require you to show your work and there will not be any credit given without math/work for a problem. 1. Naturally occurring iodine has atomic mass of 126.9045 amu. A 12.3849 gram sample of iodine is accidentally contaminated with an additional 1.0070 grams of 12, a synthetic isotope used to treat diseases of the thyroid. The mass of lodine 129 is 128.9050 amu. Find the apparent "atomic mass" of the contaminated iodine. (Show the math for this.)...
(,y,) dS, where f(,y,) = z'yz2 and S is the part ys 4 1. Parametrize, but do not evaluate, +y of the graph of z over the rectangle -2 S rs3 and 0 2. Parametrize, but do not evaluate, F.n dS, where F (y,-r,z) and S is the sphere of radius 2 centered at the origin. Math 224 3. Calculate le ayz dS where S is the part of the cone parametrized by 0sus1,0svs r(u, v)(ucos v, usin v, u),...
please show all work
Use Stokes' Theorem to evaluate Sc F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyl +22+ 4yk, C is the curve of intersection of the plane X + 2 = 10 and the cylinder x2 + y2 - 36.
Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π
Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π
Evaluate the integral. Does Cauchy's theorem apply?
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2 & de 1 6 z dz > ¿ z2+ CZ til: i Z2+1 C: 12-11 Counterclockwile Counter clock wise
2. Evaluate 1,(1,0, 2) . ds, where s is the cone z = VE4y2 with 0 < z < 2, Upward 1,0,2) ds, where S is the pointing normal. 3. Use a surface integral to find the area of the region of the plane z2y +3 with
2. Evaluate 1,(1,0, 2) . ds, where s is the cone z = VE4y2 with 0