Question: Repeat Exercise 47, but assume a pigeon needs 10/9 as much energy to fly over water as over land. Exercise 47 Homing pigeons avoid flying

Repeat Exercise 47, but assume a pigeon needs 10/9 as much energy to fly over water as over land.

Exercise 47

Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. (One possible explanation is the fact that extra energy is required to fly over water because air pressure drops over water in the daytime.) Assume that a pigeon released from a boat 1 mile from the shore of a lake (point B in the figure) flies first to point P on the shore and then along the straight edge of the lake to reach its home at L. If L is 2 miles from point A, the point on the shore closest to the boat, and if a pigeon needs 5/4 as much energy per mile to fly over water as over land, find the location of point P, which minimizes energy used. B 1 mile A -2 miles- P L

B 1 mile A -2 miles- P L

Step by Step Solution

★★★★★

3.34 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x distance from P to A Energy used over land 1 unit per mile Energy used ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. (One possible explanation is the fact that extra energy is required to fly over water because air...

One of the challenges facing managers is the fact that organizations are no longer constrained by national borders. Go to the SHRM homepage (www.shrm.org) and identify OB topics that relate to...

How is the fact that communication media preferences are changing affecting consumer behavior and the effective use of consumer behavior in business?

Homing pigeons avoid flying over large bodies of water preferring to fly around them instead Assume that a pigeon released from a boat 5 miles from the shore of a lake point B in the figure flies...

Homing pigeons avoid flying over large bodies of water, preferring Point P is miles away from point A. to fly around them instead. Assume that a pigeon released from a boat 1 mile from the shore of a...

UOIT Homing pigeons avoid flying over large Point P is miles away from bodies of water, preferring to fly around point A them instead Assume that a pigeon (Type exact answers, using released from a...

Please solve within 20 minutes: Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume that Point P is miles away from point A a pigeon released from a...

Homing pigeons will rarely fly over large bodies of water unless forced to do so, presumably because it requires more energy to maintain altitude in flight in the heavy air over cool water. Suppose a...

Chapter 16 Passenger Transport Law INTRODUCTION 5 10 15 20 25 30 35 Transport law is a complex area of law covering the carriage (transport) of passengers and their luggage, as well as the carriage...

On June 1, Cairns Corporation purchased goods from a foreign supplier at a price of 1,000,000 francs and will make payment in three months on September 1. On June 1, Cairns acquired an option to...

GaAs at T= 300 K is doped with donor impurity atoms at a concentration of 7 x 1016 cm -3 . Additional impurity atoms are to be added such that the Fermi level is 0.55 eV above the intrinsic Fermi...

Nils Lied, an Australian meteorologist, once played golf on the ice in Antarctica and drove a ball a horizontal distance of 2400 m. For a rough estimate, let us assume that the ball took off at =...

Presented below are selected accounts of Sandhill Company at December 3 1 , 2 0 2 5 . The following additional information is available. Inventories are valued at lower - of - cost - or - market...

Which part of the brain is involved in the creation of long-term, declarative memories and is often linked to Alzheimers disease? a. amygdala b. thalamus c. hypothalamus d. hippocampus

In Exercises 2748, find the open intervals where the functions are concave upward or concave downward. Find any inflection points. f(x) = 2e x2

Find the locations and values of all relative maxima and minima. f(x) = ln (3x)/2x 2

Find the locations and values of all relative maxima and minima. f(x) = xe x /x 1

The recent economic landscape is a bit shaky, as companies around the world continue to grapple with the ongoing impacts of the Covid pandemic, rising interest rates, and threat of recession....

$1 64 57 50 53 5.6 ww 59 Omega Company is creating an income statement forecast for 2022 and has as a starting point its income statement for 2021: Sales Operating expenses excluding depreciation...

Palantir technologies is buying a property worth 1,500,000.They will put 500,000 down and obtain 30 fixed monthly rate mortgage at 8% for the rest. How much interest will they pay over the life of...