In the project on page 344 we expressed the power needed by bird during its flapping mode as P ( v , x , m ) A v 3 + B ( m g / x ) 2 v where A and B are constants specific to a species of bird, v is the velocity of the bird, m is the mass of the bird, and x is the fraction of the flying time spent in flapping mode. Calculate ∂ P /∂ v , ∂ P /∂ x , and ∂ P /∂ m and interpret them.
In the project on page 344 we expressed the power needed by bird during its flapping mode as P ( v , x , m ) A v 3 + B ( m g / x ) 2 v where A and B are constants specific to a species of bird, v is the velocity of the bird, m is the mass of the bird, and x is the fraction of the flying time spent in flapping mode. Calculate ∂ P /∂ v , ∂ P /∂ x , and ∂ P /∂ m and interpret them.
Solution Summary: The author calculates the values of partial v, if P(v,x,m)=Av
In the project on page 344 we expressed the power needed by bird during its flapping mode as
P
(
v
,
x
,
m
)
A
v
3
+
B
(
m
g
/
x
)
2
v
where A and B are constants specific to a species of bird, v is the velocity of the bird, m is the mass of the bird, and x is the fraction of the flying time spent in flapping mode. Calculate ∂P/∂v, ∂P/∂x, and ∂P/∂m and interpret them.
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