1. A rain gauge is set up to measure the amount of rainfall occurring in 1 hr on the UCLA campus (the readout from the rain gauge is in nun/hr). Assume that the following data is collected in a 6 hour window. Rainfall Rate, 1'(t) in mm/hr 0 5 (a) What does [a 'r(t)dt represent? (4 points) 6 (b) Use six even subintervals to approximate / 'r(t)dt as a sum of rectangles and evaluate this sum using the data in the table above. (8 points)