A goat that weighs 6 pounds at birth gains weight at the rate (a) Find the particular solution of the differential equation. (b) Use a graphing utility to graph the particular solutions for k= 0.8, 0.9, and 1. W 300 250 200 150 100 50H W 200 150 100 2 4 6 8 dw = k(250 w), where w is weight in pounds and t is time in years. dt W 300 250 200 Tr r 150 100 50 10 t W 200 150 100 50 2 4 6 8 10 t 2 4 6 8 10 t
A goat that weighs 6 pounds at birth gains weight at the rate (a) Find the particular solution of the differential equation. (b) Use a graphing utility to graph the particular solutions for k= 0.8, 0.9, and 1. W 300 250 200 150 100 50H W 200 150 100 2 4 6 8 dw = k(250 w), where w is weight in pounds and t is time in years. dt W 300 250 200 Tr r 150 100 50 10 t W 200 150 100 50 2 4 6 8 10 t 2 4 6 8 10 t
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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(d) What is the maximum weight of the animal (in pounds) for each of the models in part (b)?
k = 0.8
k = 0.9
k = 1
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(c) The animal is sold when its weight reaches 170 pounds. Find the time of sale (in years) for each of the models in part (b). (Round your answers to two decimal places.)
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Transcribed Image Text:dw
A goat that weighs 6 pounds at birth gains weight at the rate
dt
(a) Find the particular solution of the differential equation.
(b) Use a graphing utility to graph the particular solutions for k =
O
W
300
250
200
150
100
50
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200
150
100
2
4
6
8
=k(250 w), where w is weight in pounds and t is time in years.
10
0.8, 0.9, and 1.
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50
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