The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city.t (x) degrees F80706050402 4 6 8 10 12The equation of the graph ist(x) = -0.8x² + 11.6x + 38.2°Fwhere x is the number of hours since 6 A.M.(a) Write the formula for t'.t'(x) =x hours since 6 A.M.(b) How quickly is the temperature changing at 11 A.M.? (Round your answer to one decimal place.)t'(5) =°F 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) =°F per hour

Answered: Image /qna-images/answer/be7a78de-217f-4ecc-a553-983118fc05ea.jpg

Answered: The figure shows the temperature values…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 43E

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