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Q3. Bonus. [2 [points] Consider a region R in the plane bounded above by y :1: + 5 and bounded below by y 3 3:1:2, and is contained between :1: 1 and :1: 1. Suppose a thin metal plate of unifonn density p 7 is shaped like R; let (:1: 3;] represent its center of mass. Given that the area of R is 6, which of the following expressions represents the value of :15? 7 l . 1 7 l t 7 l A. E] 3:1:"+:1:2+2:rd:13 B. bf 3mz+rr+2drr C. _'.1[_ (:1:+5)2 (33.:r22d) 1 1 1 1 1 l K D. E 3$d+$2+2$d513 E. F[ 3m2+$+2dz1z F_./_i( (1+5)' (33:1:22) (15:1: 1 T._i G. None of those options. [1 point] In Q3, which of the expressions represents the value of E? Q4. [2 points] The temperature [in degrees Celsius) during the course of a day is given by the formula 1(1) 2 15 | 10 sin(:1; ' ), where :1; is the time in hours. Give a denite integral that computes the average temperature between 9AM and 9P M