4. The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v = 12 (1 - e-7) The tasks are to: a) Differentiate v with respect to t to give an equation for . b) Calculate the value of # at t = 2s and t = 4s. c) Find the second derivative (). 5. The gain of an amplifier is found to be G = 20 log(10Vat), The tasks are to find equations for: d-G a) dG b) dV out dV out 6. The displacement, y(m), of a body in damped oscillation is y = 2esin 3t. The task is to use the Product Rule to find an equation for the velocity of the object if v = - dy 7. The velocity of a moving vehicle is given by the equation v = (2t + 3)* The task is to use the Chain Rule to determine an equation for the acceleration when dv a = = dt 8. A communication signal is given by the function y = sint The task is to derive and equation for = using the Quotient Rule