Which expression gives the distance between the points
1 answer:
You might be interested in
Answer:
A(-1,0) is a local maximum point.
B(-1,0) is a saddle point
C(3,0) is a saddle point
D(3,2) is a local minimum point.
Step-by-step explanation:
The given function is
The first partial derivative with respect to x is
The first partial derivative with respect to y is
We now set each equation to zero to obtain the system of equations;
Solving the two equations simultaneously, gives;
and
The critical points are
A(-1,0), B(-1,2),C(3,0),and D(3,2).
Now, we need to calculate the discriminant,
But, we would have to calculate the second partial derivatives first.
At A(-1,0),
and
Hence A(-1,0) is a local maximum point.
See graph
At B(-1,2);
Hence, B(-1,0) is neither a local maximum or a local minimum point.
This is a saddle point.
At C(3,0)
Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.
At D(3,2),
and
Hence D(3,2) is a local minimum point.
See graph in attachment.
Answer:
(a) The sampling distribution of = Population mean = 79
(b) P ( greater than 81.2 ) = 0.1357
(c) P ( less than or equals 74.4 ) = .0107
(d) P (77.6 less than less than 83.2 ) = .7401
Step-by-step explanation:
Given -
Sample size ( n ) = 81
Population mean = 79
Standard deviation = 18
(a) Describe the sampling distribution of
For large sample using central limit theorem
the sampling distribution of = Population mean = 79
(b) What is Upper P ( greater than 81.2 ) =
=
=
=
= 1 - .8643 =
= 0.1357
(c) What is Upper P ( less than or equals 74.4 ) =
=
=
= .0107
(d) What is Upper P (77.6 less than less than 83.2 ) =
=
=
=
= 0.9821 - .2420
= 0.7401