12. [-/0.66 Points] DETAILS SCALCETB 6.5.014. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Find the numbers b such that the average value of f(x) = 7 + 10X 9X2 on the interval [0/ b] is equal to 8. b = (smaller value) b = (larger value) 13. [-/0.66 Points] DETAILS SCALCET8 6.5.017.M|. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER In a certain city the temperature (in F) r hours after 9 AM was modeled by the function _ 7n T(t) = 50 + 11 sun(_). 12 Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.) Tave = [:1 F Need Help? '14. [-/O.66 Points] DETAILS SCALCET8 6.5.019. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The linear density p in a rod 7 m long is 9/Vx + 9 kg/m, where X is measured in meters from one end of the rod. Find the average density pave of the rod. Pave = :1 Wm Need Help? 11. [-l0.66 Points] DETAILS SCALCET8 6.5.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the given function and the given interval. rm : (x 4V. [2, 51 (3) Find the average value fave of fon the given intervalt fave : (b) Find 5 such that faye : f(C). c : [:1 (smaller value) 5 = :1 (larger value) 15. [40.76 Points] DETAILS SCALCET8 6.5.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The velocity graph of an accelerating car is shown. v (km/h) 60 20 t (seconds) 4 8 12 (a) Estimate the average velocity Vave of the car during the first 12 seconds. Use the Midpoint Rule with n = 3. (Round your answer to the nearest whole number.) (b) At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.)