Aseries rlc circuit (l = 340 ×10-3 h, c = 25 ×10-6 f, and r = 280 ohms) has an ac generator with amplitude εmax = 120 v and unknown frequency f. at time t = 0, the following voltages are measured: vad = va - vd = + 120 v, vbc = vb - vc = -10.1 v, and vcd = vc - vd = + 60.6 v. what is timax, the first time after t = 0 that the current in the circuit attains its maximum value? timax =

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 .

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray