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

Find the ways to choose a president and a secretary, Q. There are 10 studen...

Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary? Ans. There are 10 choices for the president

Determine the area of the rectangle, Stuckeyburg is a very small town in ru...

Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town. a. 40 miles 2 b. 104 miles 2 c. 93.5 miles 2 d. 92 miles 2

What is the value of tan in terms of sin, What is the value of tan? in term...

What is the value of tan? in terms of sin?. Ans:    Tan ? = S i n ?/ C os ? Tan ? = S i n ? / √1 - S i n   2?

On income and return from shares, a company declares a semu annual dividend...

a company declares a semu annual dividend on 5%.a man has 400 shares of the company.if his annual income from the share is rs 1000 find the face value of each share?

The hurwiz method, The Hurwiz method Hurwiz method was the concept of c...

The Hurwiz method Hurwiz method was the concept of coefficient of optimism or pessimism introduced by L. Hurwicz. The decision maker takes into account both the minimum and max

Probability, A card is chosen at random from a pack of playing cards.what i...

A card is chosen at random from a pack of playing cards.what is d probability that it is either a heart or the queen of spades

NUMERABILITY, AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROC...

AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROCEDURES (-)(+)(x)(div) BETWEEN EACH NUMBER TO COME UP WITH 8 ?sk question #Minimum 100 words accepted#

Congruence, a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) U...

a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n   - 1 for all integers n ≥ 0.

Cenamatic, a tire placed on a balancing machine in a service station starts...

a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a

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