The researchers from the previous exercise also developed a function that can be used to accurately predict the weight of Ayrshire cows (females). In this case, W(t) = 532(1 - 0.911e-0.002t)1.2466. Source: Canadian Journal of Animal Science. a. What is the maximum weight of the average Ayrshire cow? b. At what age does a cow reach 90% of this maximum weight? c. Find W′(1000) and interpret. d. Graph the function in this exercise along with the function from the previous exercise on [0, 2500] by [0, 700]. Describe the growth pattern of each cow.
The researchers from the previous exercise also developed a function that can be used to accurately predict the weight of Ayrshire cows (females). In this case, W(t) = 532(1 - 0.911e-0.002t)1.2466. Source: Canadian Journal of Animal Science. a. What is the maximum weight of the average Ayrshire cow? b. At what age does a cow reach 90% of this maximum weight? c. Find W′(1000) and interpret. d. Graph the function in this exercise along with the function from the previous exercise on [0, 2500] by [0, 700]. Describe the growth pattern of each cow.
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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The researchers from the previous exercise also developed a function that can be used to accurately predict the weight of Ayrshire cows (females). In this case, W(t) = 532(1 - 0.911e-0.002t)1.2466. Source: Canadian Journal of Animal Science. a. What is the maximum weight of the average Ayrshire cow? b. At what age does a cow reach 90% of this maximum weight? c. Find W′(1000) and interpret. d. Graph the function in this exercise along with the function from the previous exercise on [0, 2500] by [0, 700]. Describe the growth pattern of each cow.
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