5.] Evaluate: [a.205. 25) a.) J (3ex - 2 sec2 x) dx > 5 points (4 75) b.) J (*)dx >5 points c.) [, (ex - x)dx > 5 points -K Figure-3: (0. 3) (4:a) desmos d.) Evaluate; Jo -3.295 "(e* + 2 cos x) dx + Are (Area of rectangle formed by Points P(2.295, 25) , Q(4,25), R(4,0) and S(4,3). > 5-points (Optional with Item e.) e./ Evaluate: J [- 8-W -] dw > 5points. (Optional with Item d.)f.) Evaluate: ] (415 + 9t + 12(5 + 9t) dt Follow the formula of the Average function values ac > 5 pts. To = En A = lim mixb-a This formula gives us a universal way to interpret the integral of a function /x) on k,b) it is the average value of /(x] times the bagth of the interval. In particular, if /(x) is non-negative, than g.) Determine fave = 8x - 3 + 5e--* on (0,2) - area of rectangle with height Je > 5 pts. ard base [b - a) b If the carved upper boundary of the region under the graph of / fluidly settles into a horizontal Ine, then the height of that line is Jess- h.) The temperature during the summer is modeled by the go 70 function T(t) = 70 - 20 cos (), where t is hours after 6:00 50 am. Find the average temperature from noon until midnight. (use the formula above given on fage ) 15 pts. 6:00 12:00 6:00 0:00