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.4tN(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 isv. 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 isAt 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 ischanging is--Select---

For (c), N'(t)=30001+4tt2+100' =12000-t2+100t2+1002 Graph: At t=0 hours, the bacteria population is…

Answered: The dropdwons that say "select" on part…

Math

Calculus

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

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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A: Solution

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---

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