Show by the Lagrange multiplier method that the maximum value of d ϕ / d s is | ∇ ϕ | . That is, maximize d ϕ / d s given by ( 6.3) subject to the condition a 2 + b 2 + c 2 = 1. You should get two values ( ± ) for the Lagrange multiplier λ , and two values (maximum and minimum) for d ϕ / d s . Which is the maximum and which is the minimum?
Show by the Lagrange multiplier method that the maximum value of d ϕ / d s is | ∇ ϕ | . That is, maximize d ϕ / d s given by ( 6.3) subject to the condition a 2 + b 2 + c 2 = 1. You should get two values ( ± ) for the Lagrange multiplier λ , and two values (maximum and minimum) for d ϕ / d s . Which is the maximum and which is the minimum?
Solution Summary: The author shows the maximum value of dvarphi /ds by Lagrange multiplier method.
Show by the Lagrange multiplier method that the maximum value of
d
ϕ
/
d
s
is
|
∇
ϕ
|
.
That is, maximize
d
ϕ
/
d
s
given by ( 6.3) subject to the condition
a
2
+
b
2
+
c
2
=
1.
You should get two values (
±
) for the Lagrange multiplier
λ
, and two values (maximum and minimum) for
d
ϕ
/
d
s
.
Which is the maximum and which is the minimum?
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