A rain gauge is set up to measure the amount of total Time, t Rainfall rate, r(t) in mm/hr rainfall occurring in 1 hr on campus (the readout from the rain gauge is in mm/hr). The total amount of rainfall 6 QUIA WN - O OOADAWN between t= 0 and t =6 is given by r(t)dt. Assume the data 0 to the right is collected in a 6-hour window. Use this information to answer parts (a) and (b) below. . . . (a) Use six even subintervals to approximate the total rainfall between t = 0 and t=6 as a sum of areas of rectangles and evaluate this sum using the data in the table. The total rainfall using six even subintervals is approximately 17 mm. (b) Repeat part (a) but use three even subintervals. The total rainfall using three even subintervals is approximately | mm