There is a leaky faucet in the student's kitchen sink. The leak drips water from the faucet into the sink at a constant rate of 10mL per minute. The water is also draining out of the sink, but the rate the water drains out is not constant because of the pile of dirty dishes present. Let r(t) be the rate, in mL per minute, that the water is draining out of the sink t minutes after 7:00pm. The graph of r(t) can be found below. Assume the sink has 5mL of water in it at 7:00. rit), ml. per minutes W 10 15 20 15 10 minutes (a) (3 pts.) How much water drains out of the sink between 7:00 and 7:15? Show how you arrived at your answer. (b) (3 pts.) How much water drips into the sink between 7:00 and 7:15? Show how you arrived at your answer. (c) (3 pts.) Suppose that at 7:20, the student removes the dirty dishes from the sink and water is allowed to drain freely at a rate of 15mL per minute. How long will it take for the sink to have no water in it? (Show your work.)