Apply graphical methods to the two problems below and analyse your answers using calculus. 1. Two quantities x and y are related by the equation y = ae\" a} Draw the graph of this line between :2: = -5 to 5 given that a = 2 and k=.5 b} Determine the value ofy where 1-: = 3.5 and determine the value of}: where y = 1.2 c} Find the gradient of the graph at three points and prove your answer is correct using calculus. 2. The following results were obtained of a capacitor being charged | _l _I _l _l | l l l l l l The current i at time t is given by: i = ae't-'CR 3. Plot the graph of current against time and determine the values of a and CR 4. Find the gradient of the graph at three points and provefanalyse your answer using calculus Applyr graphical me1ods to the solution of two engineering problems involving exponential growth and decay, analysing the solutions using calculus