An electric field of intensity 3.22 kn/c is applied along the x-axis. calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) the plane is parallel to the yz. plane. (b) the plane is parallel to the xy. plane. (c) the plane contains the yaxis, and its normal makes an angle of 34.2* with the x-axis. the electric field everywhere on the surface of a charged sphere of radius 0.205 m has a magnitude of 570 n/c and points radially outward from the center of the sphere. (a) what is the net charge on the sphere? nc (b) what can you conclude about the nature and distribution of charge inside the sphere?

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

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 .