A neutral conductor contains a hollow cavity in which there is a +100 nC point charge. A charged rod then transfers - 50 nC to the conductor. Afterward, what is the charge (a) on the inner wall of the cavity, and (b) on the exterior surface of the conductor

Explanation:

charge inside the cavity is + 100 nC

charge transfer by the rod is - 50 nC

(a) charge on the inner wall of the cavity is - 100 nC.

(b) Charge on the exterior surface of the conductor = - (-100) + (-50)

                                                                                      = 100 - 50 = 50 nC.

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 .