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Optimal Foraging Using data collected by zoologist Reto Zach, the work done by a crow to break open a whelk (large marine snail) can be estimated by the function 20 W = (1 + H - 0.93) where H is the height (in meters) of the whelk when it is dropped. Source: The Mathematics Teacher. (a) Find dW/dH. (b) One can show that the amount of work is minimized when dWldH = 0. Find the value of H that minimizes W. (c) Interestingly, Zach observed the crows dropping the whelks from an average height of 5.23 m. What does this imply?

Optimal Foraging Using data collected by zoologist Reto Zach, the work done by a crow to break open a whelk (large marine snail) can be estimated by the function 20 W = (1 + H - 0.93) where H is the height (in meters) of the whelk when it is dropped. Source: The Mathematics Teacher. (a) Find dW/dH. (b) One can show that the amount of work is minimized when dWldH = 0. Find the value of H that minimizes W. (c) Interestingly, Zach observed the crows dropping the whelks from an average height of 5.23 m. What does this imply?

Calculus: Early Transcendentals
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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Optimal Foraging Using data collected by zoologist Reto Zach, the work done by a crow to break open a whelk (large marine snail) can be estimated by the function 20 W = (1 + H - 0.93) where H is the height (in meters) of the whelk when it is dropped. Source: The Mathematics Teacher. (a) Find dW/dH. (b) One can show that the amount of work is minimized when dWldH = 0. Find the value of H that minimizes W. (c) Interestingly, Zach observed the crows dropping the whelks from an average height of 5.23 m. What does this imply?
Transcribed Image Text:Optimal Foraging Using data collected by zoologist Reto Zach, the work done by a crow to break open a whelk (large marine snail) can be estimated by the function 20 W = (1 + H - 0.93) where H is the height (in meters) of the whelk when it is dropped. Source: The Mathematics Teacher. (a) Find dW/dH. (b) One can show that the amount of work is minimized when dWldH = 0. Find the value of H that minimizes W. (c) Interestingly, Zach observed the crows dropping the whelks from an average height of 5.23 m. What does this imply?
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