e) Calculate the second derivative of the instantaneous voltage (") 4 The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v = 12 (1 - c ?). The tasks are to: a) Differentiate " with respect to t to give an equation for u 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(10Vout),: The tasks are to find equations for: a ) dV out dz G b ) dV out 6 The displacement, y(m), of a body in damped oscillation is y = 2e- sin 3t. The task is to: a) Use the Product Rule to find an equation for the velocity of the object if v = >. 7 The velocity of a moving vehicle is given by the equation v = (2t + 3 ) 4 The task is to: a) Use the Chain Rule to determine an equation for the acceleration when a = at 8 A communication signal is given by the function y = sint The task is to: a) Derive and equation for using the Quotient Rule. 3 ODAM January 2015