5. [-/0.27 Points] DETAILS SCALCET9 6.5.017.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a certain city the temperature (in F) t hours after 9 a.m. was modeled by the function T(t) = 44 + 17 sin Find the average temperature Tave (in F) during the period from 9 a.m. to 9 p.m. (Round your answer to the nearest degree.) T ave = OF Need Help? Read It Watch It Master It 6. [-/0.27 Points] DETAILS SCALCET9 6.5.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following given function and given interval. f(x) = 6 sin(x) - 3 sin(2x), [0, x] (a) Find the average value fave of f on the given interval. fave = (b) Find c in the given interval such that fave = f(c). (Enter your answers as a comma-separated list. Round your answers to three decimal places.) C = Sketch the graph of f and a rectangle whose base is the given interval and whose area is the same as the area under the graph of f. 2 -1 2 O 8 - 6 -1 2 O Need Help? Read it Watch It 7. [-/0.27 Points] DETAILS SCALCET9 6.5.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find all numbers b such that the average value of f(x) = 5 + 10x - 9x2 on the interval [0, b] is equal to 6. (Enter your answers as comma-separated list.) b= Need Help? Read It 8. [-/0.32 Points] DETAILS SCALCET9 6.5.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The linear density p in a rod 3 m long is - Vx+ 1 kg/m, where x is measured in meters from one end of the rod. Find the average density Pave (in kg/m) of the rod. Pave = kg/m Need Help? Read it Watch It9:37 5G a webassign.net 1. [-/0.27 Points] DETAILS SCALCET9 6.5.001.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the average value fave of the function f on the given interval. f(x) = 3x2 + 4x, [-1, 3] fave = Need Help? Read it Master It 2. [-/0.27 Points] DETAILS SCALCET9 6.XP.5.007. MY NOTES ASK YOUR TEACHER Find the average value fave of the function f on the given interval. f(t) = esin(t) cos(t), o, 1 fave = Need Help? Read It 3. [-/0.27 Points] DETAILS SCALCET9 6.5.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the average value have of the function h on the given interval. h(x) = 3 cos*(x) sin(x), [0, x] have = Need Help? Read it Watch It 4. [-/0.27 Points] DETAILS SCALCET9 6.XP.5.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the given function and the given interval. f( x) = (x - 4)2, [2, 5] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.) C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 3 2 2 1 -1 2 3 4 5 2 3 4 5 O 3 2 1 -1 2 4 5 -1 2 3 O QO -1}