| Generating... |                     | quiz05c_n1 |
Choose the correct statement regarding
the extreme value for
subject to
.
The point at the extreme value satisfies
The point at the extreme value satisfies
The point at the extreme value satisfies
The point at the extreme value satisfies
Suppose that
is the tangent plane at the point
[ 2 , 2 , − 1 ]
to the ellipsoid
.
Then find the values
,
and
.
,
, and
.
,
, and
.
,
, and
.
,
, and
.
Let
.
Find the value
at the critical point
[ y = 0 , x = 0 ]
for second derivative test.
Let
be the ellipsoid.
Find the tangent plane at the point
[ − 1 , 1 , 1 ]
.
Let
.
Find the gradient
.
Let
.
Find all the critical points.
[ y = 0 , x = 0 ]
,
and
[ y = 0 , x = 0 ]
,
[ y = −2 , x = 2 ]
and
[ y = −2 , x = − 2 ]
[ y = 0 , x = 0 ]
,
and
[ y = 0 , x = 0 ]
,
[ y = −1 , x = − 1 ]
and
[ y = −1 , x = 1 ]
Find the extreme value for
subject to
.
The extreme value
at
The extreme value
at
The extreme value
at
The extreme value
at
Choose the correct answer regarding
the critical point
[ y = 0 , x = 0 ]
for
.
It is a local minimum
It is a saddle point
Let
.
Find the gradient
.
Find the extreme value for
subject to x + y + 2z = 1
.
The extreme value
at
The extreme value
at
The extreme value
at
The extreme value
at