Dashboard X Course: 22SU Calc I-Bus/Life/S X VA Exam 3 - 22SU Calc I-Bus/Life/ X Course Hero X + C webassign.net/web/Student/Assignment-Responses/submit?dep=29466861&tags=autosave#Q10 * DE : M Gmail Maps YouTube h Hulu | Home Q Dashboard video2782837476... 7. [-/5 Points] DETAILS LCALCCON5 3.1.029. MY NOTES ASK YOUR TEACHER The figure shows the temperature values (in F) on a typical May day in a certain Midwestern city. t (x ) degrees F 80 70 60 50 40 x hours since 6 A.M. 2 4 6 8 10 12 The equation of the graph is t(x) = -0.8x2+ 11.6x + 38.2OF where x is the number of hours since 6 A.M. (a) Write the formula for t'. t' ( x ) = (b) How quickly is the temperature changing at 9 A.M.? (Round your answer to one decimal place.) t' (3 ) = OF per hour (c) What is the instantaneous rate of change of the temperature at 3 P.M.? (Round your answer to one decimal place.) t'(9) = OF per hour (d) Draw and label tangent lines depicting the results from parts (b) and (c). t (x) degrees F t (x ) degrees F Slope = -2.8 80 80 70 70 60 Slope = 6.8 60 Slope = 2.0 50 50