a. A capacitor (C) which is connected with a resistor (R) is being charged by supplying the constant voltage (V) of (T+5)v. The thermal energy dissipated by the resistor over the time is given as E = infinityJ0 P(t) dt, where P(t) = (T+5/R e^-1/rc)^2. Find the energy dissipated. (10 Marks)
b. Evaluate: 7J0 Tx^2 e^-x dx. (15 Marks)