1. Given the first derivative of a Conference function is h'(t) = -8t + t2 - 9, where t represents time in hours. Determine the time(s) for which the conference will be most exciting (maximized). Give reason(s) for selecting that time(s).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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1. Given the first derivative of a Conference function is h'(t) = -8t + t2 - 9, where t represents time in hours. Determine the time(s) for which the conference will be most exciting (maximized). Give reason(s) for selecting that time(s).                                                                                                                                                                                                                                                                                                                                                                        2. Calculate and describe the point of inflection for the following function: f(m) = m3 - 3m2 - 9m + 7.          

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Where did the 10>0 and -10<0 come from?

And does NEGATIVE (1hr) exist?

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