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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 31E
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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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