2
votes
3answers
72 views

Lagrange multipliers from hell

I was asked to solve this question, decided to try and solve it with lagrange multipliers as I see no other way: "Find the closest and furthest points on the circle made from the intersection of the ...
1
vote
1answer
32 views

How do I setup the lagrangian for this problem?

I have a function $y(x)$, that I would like to maximize, subject to two constraints. It is given by: $$ \max_{x} \ y(x) = a \ cos(x) + b \ sin(x) \\ \text{subject to:} \\ x \geq 0 \\ x \leq ...
1
vote
0answers
29 views

How can I find the Min and max of this question?

I have been trying for the past 2 hours on this question and cannot seem to figure out the answer. So far I have gotten the 'green' bits correct. Someone Help please
1
vote
2answers
44 views

How can I solve this using the Lagrange method?

This is what I keep doing but the answer seems to be wrong every time.
2
votes
1answer
200 views

How to restrict Lagrange multiplier on positive values?

Here's the function that i want to optimize: $$f(x,y) = x-2y$$ and the constraint is: $$g(x,y) = x^2 + y - 10 = 0$$ Solving with Lagrange multiplier I get: $$F(x,y) = x-2y - x^2\lambda - y\lambda ...
1
vote
1answer
73 views

What is the constraint in this LaGrange Multipliers ??

$x$ and $y$ are real numbers where satisfied the equation $x^2+y^2+xy-3x-3y-9=0$ Find the max. and min. values of $x^2+y^2$ I don't know how to find the constraint
1
vote
1answer
142 views

Lagrange method - non-linear system of equations

I have to compute optimal parametres of truncated cone so that its Volume is fixed (lets say it is 1) and its surface is minimal using Lagrange method These are equations desribing my object: ...