Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the power consumed by a 15 1033 J/s. Assume that the pigeon certain pigeon flying at velocity U m/s is described well by the function P(v) can store 5 x 104 J of usable energy as body fat Find the velocity vp min that minimizes power consumption (Use decimal notation. Give your answer to two decimal places.) m/s Up min Find the total distance traveled by the pigeon flying at velocity v m/s (Use symbolic notation and fractions where needed.) D(v) Migrating birds are smart enough to fly at the velocity that maximizes distance traveled rather than minimizes power consumption. Find the velocity vd max that maximizes the total distance (Use decimal notation. Give your answer to two decimal places.) m/s Ud max Find the maximum total distance that the bird can fly (Use decimal notation. Give your answer to two decimal places.) D(Ud max) km

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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Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the power consumed by a
15
1033 J/s. Assume that the pigeon
certain pigeon flying at velocity U m/s is described well by the function P(v)
can store 5 x 104 J of usable energy as body fat
Find the velocity vp min that minimizes power consumption
(Use decimal notation. Give your answer to two decimal places.)
m/s
Up min
Find the total distance traveled by the pigeon flying at velocity v m/s
(Use symbolic notation and fractions where needed.)
D(v)
Migrating birds are smart enough to fly at the velocity that maximizes distance traveled rather than minimizes power
consumption. Find the velocity vd max that maximizes the total distance
(Use decimal notation. Give your answer to two decimal places.)
m/s
Ud max
Transcribed Image Text:Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the power consumed by a 15 1033 J/s. Assume that the pigeon certain pigeon flying at velocity U m/s is described well by the function P(v) can store 5 x 104 J of usable energy as body fat Find the velocity vp min that minimizes power consumption (Use decimal notation. Give your answer to two decimal places.) m/s Up min Find the total distance traveled by the pigeon flying at velocity v m/s (Use symbolic notation and fractions where needed.) D(v) Migrating birds are smart enough to fly at the velocity that maximizes distance traveled rather than minimizes power consumption. Find the velocity vd max that maximizes the total distance (Use decimal notation. Give your answer to two decimal places.) m/s Ud max
Find the maximum total distance that the bird can fly
(Use decimal notation. Give your answer to two decimal places.)
D(Ud max)
km
Transcribed Image Text:Find the maximum total distance that the bird can fly (Use decimal notation. Give your answer to two decimal places.) D(Ud max) km
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