Find out the minimum distance from the origin, Mathematics

Assignment Help:

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.

 


Related Discussions:- Find out the minimum distance from the origin

Math 533, Project part A, part B, part C

Project part A, part B, part C

Definition of laplace transforms, You know that it's all the time a little ...

You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w

Find sampling interval - horizontal and vertical asymptote, In a digital fi...

In a digital filter, one of the parameters in its difference equation is given by the formula a) Show that the above formula has one horizontal and one vertical asymptote.

All subjects, I need help. Is there anyone there to help me?

I need help. Is there anyone there to help me?

Integers, What are some equations for 36?

What are some equations for 36?

Linear differential equations, A linear differential equation is of differe...

A linear differential equation is of differential equation which can be written in the subsequent form. a n (t) y (n) (t) + a n-1 (t) y (n-1) (t)+..............+ a 1 (t) y'(

Trigonometric ratios, to difine trigonometric ratios of an angle,is it nece...

to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?

Word Problem, One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. Wha...

One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. What is the total weight for one box?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd