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1. Given f(x,y) = x^2-4xy+y^3+4y
Find the critical points and then use the Saddle Point Derivative Test to determine if they are max, min, or saddle points.
2. Given f(x,y)=4xy-x^4-y^4
Find the critical points and then use the Saddle Point Derivative Test to determine if they are max, min or saddle points.
3. Find the volume of the solid bounded above by z=x^2 and abounded below by the region enclosed by y=2-x^2 and y=x.
4. Find the volume of the solid in the first octant bounded by the coordinate planes z=4-y^2 and the plane x=3.
5. Find the volume of the wedge cut from the first octant by the cylinder
z=12-3y^2 and the plane x+y=2.
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.
Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Marginal and conditional density. A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco.
The name of a variable in the C programming language is a string that can contain uppercase letters, lowercase letters, digits, or underscores. Further, the first character in the string must be a letter, either uppercase or lowercase, or an under..
In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (yellow or green)? Choose the best answer from the options below
Equation of the hyperbola if equations of Asymptotes are given - Determine angles between the Asymptotes of the Hyperbola.
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
Show that any complex number z with |z| = 1, other than z = 1, can be expressed as with an appropriate choice of the real parameter t.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
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