If the rate of change in the number of cows, W, in a population is proportional to 150 -W(t), where t is measured in years. Write the differential equation to solve for W(t). Do not solve. N If the rate of change of T is proportional to (30+T), where T> -30. If T(0) = 4, and T(2)-6, find T(5).

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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If the rate of change in the number of cows, W, in a population is proportional to 150
-W(t), where t is measured in years. Write the differential equation to solve for W(t).
Do not solve.
If the rate of change of T is proportional to (30 + T), where T> -30. If T(0) = 4, and
T(2)
6, find T(5).
M
Transcribed Image Text:If the rate of change in the number of cows, W, in a population is proportional to 150 -W(t), where t is measured in years. Write the differential equation to solve for W(t). Do not solve. If the rate of change of T is proportional to (30 + T), where T> -30. If T(0) = 4, and T(2) 6, find T(5). M
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