Consider the region defined by |x|, |y|, and |z| < 1. Let  r = 5, μr = 4, and σ = 0. If Jd = 20 cos(1.5×108t − bx) ay μA/m2 (a) find D and E; (b) use the point form of Faraday’s law and an integration with respect to time to find B and H; (c) use∇×H = Jd + J to find Jd; (d) What is the numerical value of b

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

the one below it is a function

n=2.7

step-by-step explanation: