As part of a chemical experiment, a scientist determines that the number sodium in a chemical solution can be approximated by the function N(t) = t³ 24t²350t +9338 (0 ≤ t ≤60) where N(t) is the number of milligrams of sodium and t is the time in minu Determine how long it will take for the amount of sodium in the solution minimized. Type your answer below round to the nearest tenth. It will take about minutes for the amount of sodium t minimized.

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...
Question
As part of a chemical experiment, a scientist determines that the number of milligrams of
sodium in a chemical solution can be approximated by the function
N(t) = t³ 24t2 - 350t +9338 (0 ≤ t ≤ 60)
where N(t) is the number of milligrams of sodium and t is the time in minutes.
Determine how long it will take for the amount of sodium in the solution to be
minimized. Type your answer below round to the nearest tenth.
It will take about
minutes for the amount of sodium to be
minimized.
Transcribed Image Text:As part of a chemical experiment, a scientist determines that the number of milligrams of sodium in a chemical solution can be approximated by the function N(t) = t³ 24t2 - 350t +9338 (0 ≤ t ≤ 60) where N(t) is the number of milligrams of sodium and t is the time in minutes. Determine how long it will take for the amount of sodium in the solution to be minimized. Type your answer below round to the nearest tenth. It will take about minutes for the amount of sodium to be minimized.
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