A bird is released from point A on an island, 5 mi from the nearest point B on a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 12 kcal/mi of energy to fly over land and 18 kcal/mi to fly over water. 5 mi B (a) Use the fact that island 5- 12 mi flying from A to C is 6 E(x) = 18√x² + 25 + 12(12 x). nesting area D energy used energy per mile x miles flown to show that the total energy used by the bird is modeled by the function E(x) = 18√x2 + 25 + 12(12 - x). Let x be the distance from point B to C, in miles. Then the distance from A to C is 10 and the energy used in flying from C to D is 9 X X , and the distance from C to D is 3 X . Therefore, the total energy is given by X The energy used in
A bird is released from point A on an island, 5 mi from the nearest point B on a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 12 kcal/mi of energy to fly over land and 18 kcal/mi to fly over water. 5 mi B (a) Use the fact that island 5- 12 mi flying from A to C is 6 E(x) = 18√x² + 25 + 12(12 x). nesting area D energy used energy per mile x miles flown to show that the total energy used by the bird is modeled by the function E(x) = 18√x2 + 25 + 12(12 - x). Let x be the distance from point B to C, in miles. Then the distance from A to C is 10 and the energy used in flying from C to D is 9 X X , and the distance from C to D is 3 X . Therefore, the total energy is given by X The energy used in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:A bird is released from point A on an island, 5 mi from the nearest point B on a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its
nesting area D (see the figure). Suppose the bird requires 12 kcal/mi of energy to fly over land and 18 kcal/mi to fly over water.
| 5 mi
B
(a) Use the fact that
island
X
-12 mi
flying from A to C is 6
E(x) = 18√x² + 25 + 12(12-x).
nesting
area
D
energy used = energy per mile x miles flown
to show that the total energy used by the bird is modeled by the function
E(x) = 18√x² + 25 + 12(12-x).
Let x be the distance from point B to C, in miles. Then the distance from A to C is 10
and the energy used in flying from C to D is 9
X
X
, and the distance from C to D is 3
X
. Therefore, the total energy is given by
X
The energy used in
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