Question 18 ▼ = < > Starting with an initial population of P(0) = 19, the population of a pride of lions grows at a rate of 1 P'(t) 10 -t lions per month, for 0 < t≤ 20. 2 How much does the population change in the first 18 months? Round your answer to the nearest integer. What is the actual population after the first 18 months? Round your answer to the nearest integer. Find a formula for P(t), the population after t months.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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Question 18
▼
=
< >
Starting with an initial population of P(0) = 19, the population of a pride of lions grows at a rate of
1
P'(t)
10 -=t lions per month, for 0 < t ≤ 20.
2
How much does the population change in the first 18 months?
Round your answer to the nearest integer.
What is the actual population after the first 18 months?
Round your answer to the nearest integer.
Find a formula for P(t), the population after t months.
Transcribed Image Text:Question 18 ▼ = < > Starting with an initial population of P(0) = 19, the population of a pride of lions grows at a rate of 1 P'(t) 10 -=t lions per month, for 0 < t ≤ 20. 2 How much does the population change in the first 18 months? Round your answer to the nearest integer. What is the actual population after the first 18 months? Round your answer to the nearest integer. Find a formula for P(t), the population after t months.
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