Find out the minimum distance from the origin, Mathematics

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.

 

Posted Date: 2/15/2013 5:31:16 AM | Location : United States







Related Discussions:- Find out the minimum distance from the origin, Assignment Help, Ask Question on Find out the minimum distance from the origin, Get Answer, Expert's Help, Find out the minimum distance from the origin Discussions

Write discussion on Find out the minimum distance from the origin
Your posts are moderated
Related Questions
performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt

Sir before I applied for online assignment help job and the selection process is not complete for me. You sent me problem assignment before.But those problems were not completed.Ca


find area of rectangles and triangles put together

An integer is chosen at random from the first two hundreds digit. What is the probability that the integer chosen is divisible by 6 or 8.                    (Ans : 1/4 ) Ans:

convert the equation 4x^2+4y^2-4x-12y+1=0 to standard form and determine the center and radius of the circle. sketch the graph.

find h in the parallelogram

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

The Daily News reported that 54% of people surveyed said in which they would vote for Larry Salva for mayor. Based on the survey results, if 23,500 people vote in the election, how

if I read 6 hours of spring break how many minutes did read