(Lagrange Multipliers with Three Variables) Find the global
minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x...
(Lagrange Multipliers with Three Variables) Find the global
minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x - y + z
= 8. Now sketch level surfaces f(x,y,z) = k for k = 0; 1; 4 and the
plane x-y +z = 8 on the same set of axes to help you explain why
the point you found corresponds to a minimum value and why there
will be no maximum value.
Find equations of the following.
2(x − 5)2 + (y − 3)2 + (z − 9)2...
Find equations of the following.
2(x − 5)2 + (y − 3)2 + (z − 9)2
= 10, (6, 5, 11)
(a) the tangent plane
(b) the normal line (x(t), y(t), z(t)) = ( )
Please show how you got the answer.
=
Problem 6.
1. If X ~ N(9; 4), find Pr(|X - 2 |< 4).
2. If...
Problem 6.
1. If X ~ N(9; 4), find Pr(|X - 2 |< 4).
2. If X ~ N(0; 1), find Pr(|X + 3|> 5).
3. If X ~ N(-2; 9), find the number c such that Pr(|X + 2| < c)
= 0:5.
Q1 )Find the 1st quartile, 2nd quartile, third quartile and the
interquartile range of the following...
Q1 )Find the 1st quartile, 2nd quartile, third quartile and the
interquartile range of the following data set
72, 74, 75, 77, 79, 82, 83, 87, 88, 90, 91, 91, 91, 92, 96, 97,
97, 98, 100
The 1st Quartile :
The 2nd Quartile :
The 3rd Quartile :
The IQR :
Q2)
According to the empirical rule, if a population has a normal
distribution, approximately what percentage of values is within
one, two and three standard deviation of the...
The temperature at a point (x, y, z) is given by T(x, y, z) =
100e^(−x^2...
The temperature at a point (x, y, z) is given by T(x, y, z) =
100e^(−x^2 − 3y^2 − 9z^2) where T is measured in °C and x, y, z in
meters. (a) Find the rate of change of temperature at the point
P(2, −1, 2) in the direction towards the point (5, −2, 3). (b) In
which direction does the temperature increase fastest at P? (c)
Find the maximum rate of increase at P.