Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production isy = 24t + 0.5t2 − t3, 0 ≤ t ≤ 5 Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production isy = 24t + 0.5t? - t3,0

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Description: Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production isy = 24t + 0.5t2 − t3, 0 ≤ t ≤ 5 Analysis of daily output of a factory shows that, on average, the number of units p

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is

y = 24t + 0.5t² − t³, 0 ≤ t ≤ 5

Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is
y = 24t + 0.5t? - t3,
0 <t < 5.
(a) Find the critical values of this function. (Assume -∞ < t < ∞. Enter your answers as a comma-separated list.)
t =
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
t =
(c) For which values of t, for 0 <t < 5, is y increasing? (Enter your answer using interval notation.)
(d) Graph this function.

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