Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by the function p(t) = 200+ 20t - t2 where t is time in hours. a) State the initial population. b) Determine the growth rate of the population in terms of t. c) What does it mean when p'(t) = 0? Calculate the value of t when this occurs and explain what this answer means. (+) for + greater

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
Part A
The population P, in thousands of bacterial colonies on a kitchen bench can be modelled by
the function p(t) = 200 + 20t - t2 where t is time in hours.
99 words
.
a) State the initial population.
b) Determine the growth rate of the
population in terms of t.
c) What does it mean when p'(t) = 0?
Calculate the value of t when this occurs
and explain what this answer means.
d) Explain what happens to p'(t) for t greater
than the value you found in part c. Give
one reason why this might occur.
区
English (Australia) Accessibility: Investigate
F2
C
80
F3
$
888
F4
45
%
F5
MacBook Air
6
F6
&
7
F7
8
F8
Focus
F9
ES EE
F10
Transcribed Image Text:Part A The population P, in thousands of bacterial colonies on a kitchen bench can be modelled by the function p(t) = 200 + 20t - t2 where t is time in hours. 99 words . a) State the initial population. b) Determine the growth rate of the population in terms of t. c) What does it mean when p'(t) = 0? Calculate the value of t when this occurs and explain what this answer means. d) Explain what happens to p'(t) for t greater than the value you found in part c. Give one reason why this might occur. 区 English (Australia) Accessibility: Investigate F2 C 80 F3 $ 888 F4 45 % F5 MacBook Air 6 F6 & 7 F7 8 F8 Focus F9 ES EE F10
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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