point Let N(t) measure the size of a population of bacteria after providing a nutrient for t > 0. N (1) = 4840 + 30000 100+1² Enter the first derivative N' (t) = Enter the critical number t = Is N(t) increasing or decreasing for f less than the critical number? Is N (1) increasing or decreasing for t greater than the critical number? What is the maximum size of the population?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
icon
Related questions
Question
oint) Let N(t) measure the size of a population of bacteria after providing a nutrient for t > 0.
N(t) = 4840 +
30000
100+1²
Enter the first derivative N' (t) =
Enter the critical number t =
Is N (1) increasing or decreasing for t less than the critical number?
Is N (1) increasing or decreasing for t greater than the critical number?
What is the maximum size of the population?
Transcribed Image Text:oint) Let N(t) measure the size of a population of bacteria after providing a nutrient for t > 0. N(t) = 4840 + 30000 100+1² Enter the first derivative N' (t) = Enter the critical number t = Is N (1) increasing or decreasing for t less than the critical number? Is N (1) increasing or decreasing for t greater than the critical number? What is the maximum size of the population?
The trachea contracts during a cough to increase the velocity of air. The velocity can be modeled by
v = c(r-ro)r²,
where ro is the normal radius of the trachea, r is the radius during a cough and c is a negative constant.
If ro= 180, find the value of r that maximizes v on the domain [0, 180].
Transcribed Image Text:The trachea contracts during a cough to increase the velocity of air. The velocity can be modeled by v = c(r-ro)r², where ro is the normal radius of the trachea, r is the radius during a cough and c is a negative constant. If ro= 180, find the value of r that maximizes v on the domain [0, 180].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer