Homework Help is Here – Start Your Trial Now!
Math
Calculus
The dropdwons that say "select" on part c and d is asking "is it increasing, decreasing or staying constant"

The dropdwons that say "select" on part c and d is asking "is it increasing, decreasing or staying constant"

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

The dropdwons that say "select" on part c and d is asking "is it increasing, decreasing or staying constant"

A culture of bacteria grows in number according to the function N(t), where t is measured in hours. 4t N(t) = 300ol 1 + t2 + 100 (a) Find the rate of change of the number of bacteria. N'(t) = (b) Find N'(0), N'(10), N'(20), and N'(30). N'(0) = N'(10) = N'(20) = N'(30) = (c) Interpret the results from part (b). At t = 0 hours, the bacteria population is --Select--- |---Select-- v. At t = 10 hours, the bacteria population is ---Select--- At t = 20 hours, the bacteria population is v. And at t = 30 hours, the bacteria population is ---Select--- (d) Find N"(0), N"(10), N"(20), and N"(30). N"(0) = N"(10) = N"(20) = N"(30) = Interpret what the answers imply about the bacteria population growth. v. At t = 10 hours, the rate at which the bacteria population is changing is At t = 0 hours, the rate at which the bacteria population is changing is ---Select--- | ---Select--- v. At t = 20 hours, the rate at which the bacteria population is changing is --Select--- At t = 30 hours, the rate at which the bacteria population is changing is --Select---
Transcribed Image Text:A culture of bacteria grows in number according to the function N(t), where t is measured in hours. 4t N(t) = 300ol 1 + t2 + 100 (a) Find the rate of change of the number of bacteria. N'(t) = (b) Find N'(0), N'(10), N'(20), and N'(30). N'(0) = N'(10) = N'(20) = N'(30) = (c) Interpret the results from part (b). At t = 0 hours, the bacteria population is --Select--- |---Select-- v. At t = 10 hours, the bacteria population is ---Select--- At t = 20 hours, the bacteria population is v. And at t = 30 hours, the bacteria population is ---Select--- (d) Find N"(0), N"(10), N"(20), and N"(30). N"(0) = N"(10) = N"(20) = N"(30) = Interpret what the answers imply about the bacteria population growth. v. At t = 10 hours, the rate at which the bacteria population is changing is At t = 0 hours, the rate at which the bacteria population is changing is ---Select--- | ---Select--- v. At t = 20 hours, the rate at which the bacteria population is changing is --Select--- At t = 30 hours, the rate at which the bacteria population is changing is --Select---
Expert Solution
Step 1

For (c),

N'(t)=30001+4tt2+100' =12000-t2+100t2+1002

Graph:

Calculus homework question answer, step 1, image 1

At t=0 hours, the bacteria population is constant. At t=10 hours, the bacteria population is decreasing. At t=20 hours, the bacteria population is increasing. And at t=30 hours, the bacteria population is increasing.

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS