100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the population for t≥ 0. b. What is the instantaneous growth rate at t = 5? c. At what time is the instantaneous growth rate the greatest? d. Evaluate and interpret lim p'(t). t→∞0 e. Use a graphing utility to graph the population and its growth rate for 0 ≤t≤ 20.
100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the population for t≥ 0. b. What is the instantaneous growth rate at t = 5? c. At what time is the instantaneous growth rate the greatest? d. Evaluate and interpret lim p'(t). t→∞0 e. Use a graphing utility to graph the population and its growth rate for 0 ≤t≤ 20.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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Complete all parts please
![100t
Consider the population function p(t) =
t+9
a. Find the instantaneous growth rate of the population for t≥ 0.
b. What is the instantaneous growth rate at t=5?
c. At what time is the instantaneous growth rate the greatest?
d. Evaluate and interpret lim p'(t).
1-00
e. Use a graphing utility to graph the population and its growth rate for 0 ≤t≤ 20.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d6780c1-79e2-486e-8561-9c82a0d64a69%2F09837890-2d14-41f6-bfc6-28ca46185c0c%2F331pm0l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:100t
Consider the population function p(t) =
t+9
a. Find the instantaneous growth rate of the population for t≥ 0.
b. What is the instantaneous growth rate at t=5?
c. At what time is the instantaneous growth rate the greatest?
d. Evaluate and interpret lim p'(t).
1-00
e. Use a graphing utility to graph the population and its growth rate for 0 ≤t≤ 20.
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