A current, i(t), is applied to an electrical circuit. The current is turned on at t = 1 and then off at t = 3. While the current is on it has magnitude 3 t.

a) Sketch the current for 0 < t < 6.

b) Write the current function i(t) using the Heaviside step function.

c) Find the Laplace transform of the function i(t). Remember that the formula involves H(t a)f(t a), so you might need to "fiddle" with the equation a bit to get it into the correct format.