Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. 6000- 5000- 4000– 3000- 2000- 1000- a. At approximately what time is the instantaneous growth rate the greatest, for 0sts36? Estimate the growth rate at this time. y=p(t) b. At approximately what time in the interval 0sts36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. 0- 16 24 32 t c. What is the average growth rate over the interval 0sts 36? Time (hours) a. The instantaneous rate of growth is the greatest at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) b. The instantaneous rate of growth is the least at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) c. The average rate of growth over the interval 0 sts36 is approximately (Round to the nearest whole number as needed.) Number of bacteria

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...
icon
Related questions
Question
Suppose the following graph represents the number of bacteria in a culture
t hours after the start of an experiment.
6000-
5000-
4000-
3000-
2000-
1000-
0-
8
a. At approximately what time is the instantaneous growth rate the greatest,
for 0sts36? Estimate the growth rate at this time.
y= p(t) |
b. At approximately what time in the interval0sts36 is the instantaneous
growth rate the least? Estimate the instantaneous growth rate at this time.
16 24 32
c. What is the average growth rate over the interval 0sts 36?
Time (hours)
a. The instantaneous rate of growth is the greatest at approximately t=
(Round to the nearest whole number as needed. Use a comma to separate answers as needed.)
The growth rate at this time(s) is approximately
(Round to the nearest whole number as needed.)
b. The instantaneous rate of growth is the least at approximately t=
(Round to the nearest whole number as needed. Use a comma to separate answers as needed.)
The growth rate at this time(s) is approximately
(Round to the nearest whole number as needed.)
c. The average rate of growth over the interval 0<ts 36 is approximately
(Round to the nearest whole number as needed.)
Number of bacteria
to
Transcribed Image Text:Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. 6000- 5000- 4000- 3000- 2000- 1000- 0- 8 a. At approximately what time is the instantaneous growth rate the greatest, for 0sts36? Estimate the growth rate at this time. y= p(t) | b. At approximately what time in the interval0sts36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. 16 24 32 c. What is the average growth rate over the interval 0sts 36? Time (hours) a. The instantaneous rate of growth is the greatest at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) b. The instantaneous rate of growth is the least at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) c. The average rate of growth over the interval 0<ts 36 is approximately (Round to the nearest whole number as needed.) Number of bacteria to
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning