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Problem 1. Find the maximum and the minimum distance from the origin to the ellipse
x2 + xy + y2 = 3.
Hints: (i) Use x2 + y2 as your objective function; (ii) You can assume that the constraint qualification condition and the second order conditions are satisfied in this problem, as well as in problems 2 and 3.
Problem 2. Maximize f (x, y, z) = yz + xz subject to y2 + z2 = 1 and xz = 3.
Problem 3. (a) Maximize f (x, y) = x2 + y2 subject to 2x + y ≤ 2, x ≥ 0 and y ≥ 0.
(b) Use the Envelope Theorem to estimate the maximal value of the objective function in part
(a) when the first constraint is changed to 2x+ 9/8y ≤ 2, the second constraint is changed to x ≥ 0.1,and the third to y ≥ -0.1.
By such interactions children learn to articulate reasons and construct arguments. When a child is exposed to several interactions of this kind, she gradually develops the ability
find the area bounded by the curve y=5x^2-4x+3 from the limit x=0 to x=5
DEVELOPING PRE-NUMBER CONCEPTS : Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities
1+2i=a+ib so find a and b
Where can I find sample questions of Unitary Method for kids to practice? I need Unitary Method study material if availbale here on website, i found there is very useful material
3.6Find the general solution of the differential equation Y" + 4y = Sec2 2x
how do you graph y+3=-x+3x on a TI-83 graphing calculator?
hi i would like to ask you what is the answer for [-9]=[=5] grade 7
Coefficient of Correlation Denoted There are two methods which measure the degree of correlation among two variables these are denoted by R and r. (a) Coefficient of correl
Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item. Hence it has to be tested statistically in order to esta
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