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Optimal Foraging Using data collected by zoologist Reto
Chapter 4, Problem 52A(choose chapter or problem)
Problem 52A
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
where H is the height (in meters) of the whelk when it is dropped. Source: Mathematics Teacher.
a. Find dW/dH.
b. One can show that the amount of work is minimized when dW/dH =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?
Questions & Answers
QUESTION:
Problem 52A
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
where H is the height (in meters) of the whelk when it is dropped. Source: Mathematics Teacher.
a. Find dW/dH.
b. One can show that the amount of work is minimized when dW/dH =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?
ANSWER:
Solution :
Step 1 :
In this problem, we have to and the value of H that minimizes W .