following function: f ( t ) = 100 + 75 t 2 Here, t is measured in hours after the start of the experiment. What is the average growth rate of her sample between hours 10 and 15 of her experiment? Average growth rate :  What is the growth rate of her sample at hour 15 of her experiment? Growth rate :  At what rate is the growth rate changing at this time? Rate of change of growth rate :

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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(In this problem, give all of the answers correct to one decimal place.) A scientist is growing bacteria in her lab. She finds that the number of bacteria per microliter in her sample can be described by the following function:

f ( t ) = 100 + 75 t 2

Here, t is measured in hours after the start of the experiment.

What is the average growth rate of her sample between hours 10 and 15 of her experiment?
Average growth rate : 

What is the growth rate of her sample at hour 15 of her experiment?
Growth rate : 

At what rate is the growth rate changing at this time?
Rate of change of growth rate : 

Expert Solution
Step 1

.) A scientist is growing bacteria in her lab. She finds that the number of bacteria per microliter in her sample can be described by the following function:

f ( t ) = 100 + 75 t 2

Here, t is measured in hours after the start of the experiment.

What is the average growth rate of her sample between hours 10 and 15 of her experiment?
Average growth rate : 

What is the growth rate of her sample at hour 15 of her experiment?
Growth rate : 

At what rate is the growth rate changing at this time?
Rate of change of growth rate : 

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