5 mi B (a) Use the fact that 12 mi 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). flying from A to C is 18V 25 + x² E(x) = 18√x² + 25 + 12(12-x). Need Help? Read It nesting area Let x be the distance from point B to C, in miles. Then the distance from A to C is √ 25+x4 D , and the distance from C to D is 12-x and the energy used in flying from C to D is 12(12-x) Therefore, the total energy is given by (b) If the bird instinctively chooses a path that minimizes its energy expenditure, to what point does it fly? (Round your answer to one decimal place.) X = 6 x mi . The energy used in

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
5 mi
B
(a) Use the fact that
5+
flying from A to C is 18V 25 + x²
E(x) = 18√x² + 25 + 12(12 - x).
Need Help? Read It
12 mi
nesting
area
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).
D
Let x be the distance from point B to C, in miles. Then the distance from A to C is √ 25 + x²
✓
, and the distance from C to D is 12-x
and the energy used in flying from C to D is 12(12-x)
. Therefore, the total energy is given by
(b) If the bird instinctively chooses a path that minimizes its energy expenditure, to what point does it fly? (Round your answer to one decimal place.)
x = 6
X mi
. The energy used in
Transcribed Image Text:5 mi B (a) Use the fact that 5+ flying from A to C is 18V 25 + x² E(x) = 18√x² + 25 + 12(12 - x). Need Help? Read It 12 mi nesting area 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). D Let x be the distance from point B to C, in miles. Then the distance from A to C is √ 25 + x² ✓ , and the distance from C to D is 12-x and the energy used in flying from C to D is 12(12-x) . Therefore, the total energy is given by (b) If the bird instinctively chooses a path that minimizes its energy expenditure, to what point does it fly? (Round your answer to one decimal place.) x = 6 X mi . The energy used in
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