The current through a capacitor is given by i = 0.022t | 0.055 ti amperes, where t is the time measured in seconds. The charge at t = 0 seconds is g = 0.014 coulombs. (a) Find the charge function in terms of time t. (Hint: q = fidt.) Answer in terms of t : (Round your numerical coefficients and constants to three decimal places.) 9* = + K coulombs Then write the complete charge function with the value of the constant integration K: g : coulombs (b) What is the capacitor's charge at t : 1.01 seconds? Answer: :] coulombs (rounded to three decimal places]