Electromagnetic waves transport energy. this problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the poynting vector. in this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. its electric and magnetic field vectors are as follows: e⃗ =e0sin(kx−ωt)j^, b⃗ =b0sin(kx−ωt)k^. throughout, use these variables ( e, b, e0, b0, k, x, and ω) in your answers. you will also need the permittivity of free space ϵ0 and the permeability of free space μ0. note: to indicate the square of a trigonometric function in your answer, use the notation sin(x)^2 not sin^2(x

d) physical means can be used to separate the components of air.

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 .

connectedness in handwriting analysis is a useful tool in establishing the writer’s method of thinking and its perception in where he/she fits in to the environment around him in the social sense. in addition, the more connected the writing of an individual, the more he/she is flexible and single minded.