Some planetary scientists have suggested that the planet mars has an electric field somewhat similar to that of the earth, producing a net electric flux of 3.66×1016 n⋅m2/c into the planet's surface. part a calculate the total electric charge on the planet.

Electric charge, q = 323910 C

Explanation:

It is given that,

Net electric flux,

We have to find the total electric charge on the planet. We can find it using Gauss's law. It is as follows :

where

q is the net electric charge

is the electric permeability

So, net electric charge is given by :

Hence, this is the required solution.

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 .