| Generating... |                     | quiz05c_n6 |
Choose the correct answer regarding
the critical point
for
.
It is a saddle point
It is a local maximum
Suppose that
is the tangent plane at the point
[ 2 , − 1 , 1 ]
to the ellipsoid
.
Then find the values
,
and
.
,
, and
.
,
, and
.
,
, and
.
,
, and
.
Let
.
Find all the critical points.
[ y = 0 , x = 0 ]
,
[ y = −1 , x = − 1 ]
and
[ y = −1 , x = 1 ]
[ y = 0 , x = 0 ]
,
and
[ y = 0 , x = 0 ]
,
and
[ y = 0 , x = 0 ]
,
[ y = −2 , x = 2 ]
and
[ y = −2 , x = − 2 ]
Find the extreme value for
subject to
.
The extreme value
at
The extreme value
at
The extreme value
at
The extreme value
at
Let
.
Find the value
at the critical point
for second derivative test.
Choose the correct statement regarding
the critical points for
.
The critical points satisfy
The critical points satisfy
The critical points satisfy
The critical points satisfy
Find the extreme value for
subject to
.
The extreme value
at
x = 2
and
y = 2
The extreme value
at
x = 1
and
y = 1
The extreme value
at
x = 2
and
y = 2
The extreme value
at
x = 1
and
y = 1
Let
.
Find the gradient
.
Find the extreme value for
subject to x + y + z = 3
.
The extreme value
at
The extreme value
at
The extreme value
at
The extreme value 3 at [ z = 1 , y = 1 , x = 1 ]
Let
be the ellipsoid.
Find the tangent plane at the point
[ 1 , 2 , 1 ]
.