4. (From textbook Chapter 5 review exercise) Indicate the following statement is True or False. Explain your answer properly to get full credit. (a) If water flows out of a tank at an increasing rate starting at 20 gallons per minute at the start of a 10minute period and ending at 50 gallons per minute at the end of the 10minute period, then at least 200 gallons have flowed out of the tank. (b) iff(t) = t2, then left hand sum gives an overestimate for f__21f(t)dt (c) iff(x) is both positive and negative when 0 S x S 2, thenIU2 f(x)dx is the sum of areas between the graph and the xaxis for 0 S x S 2 (d) iff(x) 2 g(x) 2 0, then the average value off(x) for 0 S x S 10 is greaterthan the average value ofg(x) for 0 S x S 10