Thursday
July 31, 2014

Homework Help: Optimization

Posted by Dre on Thursday, December 7, 2006 at 9:29pm.

min 2x+y subject to: x+y+z=1 and y^2+z^2=4

Any help would greatly be apprecaited.

y^2+z^2=4 --->

put y = 2 cos(theta) and

z = 2 sin(theta)

x+y+z=1 ---->

x = 1-2(cos(theta) + sin(theta))

2x + y =

2 - 2 cos(theta) - 4 sin(theta)

It's not difficult to find the minimum of this function!



You can also use lagrange multipliers...

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - I wanted to confirm that I solved these problems correctly (we had to...
Trig - Which expression equivalent to: cos(theta + pi/2). A)cos theta B)-cos ...
Algebra II - Multiple Choice Which expression is NOT equivalent to 1? (theta) ...
algebra - Can someone please help me do this problem? That would be great! ...
trigonometry - can you correct the rest for me please? Express each as a ...
trigonometry - can you correct the rest for me please? Express each as a ...
trigonomtry - can you correct the rest for me please? Express each as a function...
physics (the algebra bit) - ok my question I'm trying to solve this for a m1 a...
Algebra II - Which of the following expressions are not equal to 1? A) sin^2 ...
trig - Hi, I need to find the domain and rnge of the following: 1. X= 1/2 (cos ...

Search
Members