Consider a homogeneous, isotropic conducting medium with material constants ε, μ, σ and no net charge. starting from the maxwell's equations derive the wave equations for the fields e(f, t) and b(a, t). (b) consider a plane wave of the type e(,t) exp(ikz - iut) traveling along the z-axis in the situation described in (a) (i) derive the dispersion relation showing howw and k are related. (ii) determine k assuming that im k 《 rek. (iii) under which conditions is the assumption of (ii) justified? (iv) after which distance ξ does the amplitude of the electric (or magnetic) field of the wave fall off by the factor 1/e? (c) repeat the calculation performed in (b), but in the "quasi stationary approximation" with the displacement current neglected, and derive the distance δ after which the amplitude of the electric (or magnetic) field of the plane wave is diminished by the factor 1/e. under which conditions is this "quasi stationary approximation" justified?

a, c, d, e are all applying about success strategies.

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .