43. Pigeon Flight 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 4/3 as much energy per mile to fly over water as over land, find the location of point P, which minimizes energy used. 1 mile P A 56 2 miles
43. Pigeon Flight 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 4/3 as much energy per mile to fly over water as over land, find the location of point P, which minimizes energy used. 1 mile P A 56 2 miles
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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Transcribed Image Text:as
f(S) =
43. Pigeon Flight 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 4/3 as much energy per
mile to fly over water as over land, find the location of point P,
which minimizes energy used.
1+(S/E
where r is a positive constant of prop
of S that maximizes f(S), and desc
means.
47. Cylindrical Cells Cells in the human
spherical; some cancer cells are cylind
volume of such a cell is 65 um'. Find
of the cell with the minimum surface ar
Journal of Surgical Pathology.
48. Bird Migration Suppose a migrating bin
and suppose the amount of time the bird (
velocity according to the function T(v).
Approach to Mathematical Modelling.
(a) If E is the bird's initial energy, ther
power is given by kE/T, where kis the
that can be converted into mechanic
to principles of aerodynamics,
1 mile
P
kE
56
aSv3 + I,
%3D
2 miles
T.
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