Discharging a capacitor: a capacitor of capacitance c =4.50 uf is connected in series with a resistor r = 8.30 k2 to a (a) what is the time constant? (b) what is the maximum charge stored in the capacitor? (c) what is the time (in seconds) to reach 14% of qmax? (d) what is the current value at % qmax?

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 .

a cold ice-tea.

pour in room temperature or cold water. cover the pitcher and refrigerate. steep white or green tea for 6 to 8 hours; steep black or oolong tea for 8 to 12 hours.jun 28, 2015