a.Find the absolute maximum and minimum for z=xy-x-y/2 over the
region bounded by y=x^2 and y=3x;
b. Find the critical points and critical values for
z=x^2+2y^2-2xy+3x+y+3.
Write a recursive method pow(x, y) to calculate xy,
where x and y are positive integers. If x=2, y=4, the method pow
should return 16. Java answers only please.
Suppose A is the set of positive real numbers, and suppose u and
v are two strictly increasing functions.1 It is intuitive that u
and v are ordinally equivalent, since both rank larger numbers
higher, and therefore generate the same ranking of numbers. Write
this intuition as a proof.
Given:
f(x,y) = 5 - 3x - y for 0 < x,y < 1 and x + y < 1, 0
otherwise
1) find the covariance of x and y
2) find the marginal probability density function for x
c) find the probability that x >= 0.6 given that y <=
0.2