

For part B here when I take the intgeral the boundaries for y and z should be from where to where ?? and whyyyy 3 I...
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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...
The magnetid field intensity is given in certain region of space as H = [(x + 2y) / z²]ŷ + (2 / z)ẑ A/m. Find J Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ y ≤ 5, in the ẑ direction.
Please show steps with the graph. The magnetic field intensity is given in a certain region of space as H = [(x + 2y)/z2]ay + (2/z)az A/m. (a) Find ∇×H. (b) Find J. (c) Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ z ≤ 5, in the az direction. (d) Show that the same result is obtained using the other side of Stokes’ theorem.
problem 4
magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points)
magnetic flux through χ-1,0
Let I=∫∫∫4zdV over the region D where D is the parallelepiped {(x,y,z):3≤y+z≤8,−2≤z−y≤5,1≤x−y≤3.} Find an appropriate transformation that maps D to a rectangular box in uvw space. Then use the Jacobian to simplify and evaluate I. I=
ayuda con este problema de cálculo porfa
especialmente el punto C
help me please with this point
4. For a steady-state charge distribution and divergence-free current distribution the electric and magnetic fields E(r, y, z and H(z, y, z) satisf,y Here ρ = p(z, y, z) and J(z, y, z) are assumed to be known. The radiation that the fields produce through a surface S is determined by a radiation flux density vector field, called the Poynting vector field, a)...
Consider the joint density function fX,Y,Z(x,y,z)=(x+y)e−zfX,Y,Z(x,y,z)=(x+y)e−z where 0<x<1,0<y<1,z>0. b) Find the marginal density of (x,z) : fX,Z(x,z). For your spot check, please report fX,Z(1/2,1/4)+fX,Z(1/4,1/2)+fX,Z(1/2,2) rounded to 3 decimal places.
2. You are given the following multivariate PDF 3 (x, y, z) else s fxx.2(z, y, z)- I, 0 where S-((z, y,2)lr'ザ+8-1) (a) (5 points) Let T be the set of all points that lie inside the largest cylinder by volume that can be inscribed in the region of S. Similarly let U be the set of all points that lie inside the largest cube that can be inscribed in the region of S. What would the probabilities P(X,Y, Z)...
Question 1 、 Let X, Y and Z be three random variables that take values in the alphabet {0,1, M-lj. We assume X and Z are independent and Y = X +2(mod M), The distribution of Z is given as P(Z 0)1 -p and P (Z =i)= , for i = 1, M-1. For question 1-3 we M-1 will assume that X is uniform on f0,1,..,M-1}. Find H(X) and H(Z) Find H(Y ) Find 1 (X; Y) and「X, YZ) and...
b) Verify the Stokes' theorem where F = (2x - y)i + (x +z)j + (3x – 2y)k and S is the part of z = 5 – x2 - y2 above the plane z = 1. Assume that S is oriented upwards.