calculus, engineering.

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 = aek" 3) Draw the graph of this line between x = -5 to 5 given that a = 2 and k=0.5 b) Determine the value of y where x = 3.5 and determine the value of x where y = 1.2 c) Find the gradient of the graph at three points and prove your answer is correct using calculus. late @ Pear: 2. The following results were obtained of a capacitor being charged Current (i) _ 10-00 _ _ _ _ _ _ The current i at time t is given by: i = 36"\" 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 prove/analyse your answer using calculus This provides evidence for [DZ] For Task 3 your work should be neatly presented with all steps shown