Homework Statement
"A closed circuit consists of two semicircles of radii 40cm and 20cm that are connected by straight segments. A current of 3.0 A exists in this circuit and has a clockwise direction. Find the magnetic field at point P (center of the figures).Homework Equations
B = (mu *...
I'm sorry, I don't follow. I thought the constraint equations were:
g1=y+2z=12
g2=x+y=6
The other equations I have are:
f = x2+y2+z2
\grad{f} = 2x+2y+2z
\grad{g1} = \vec{j} + 2\vec{k}
\grad{g2} = \vec{i} + \vec{j}
if these are what you had in mind, then I'm afraid I don't see...
Soooo...plug the lambda and mu back into the equation I'm trying to optimize?
EDIT: When I try to trn the constraints into lambda and mu, I wind up with:
2\mu + \lambda -12 = 0 3\lambda+\mu-12=0
combine them, and you get
\mu = 2\lambda
so, x = 1/2\mu = \lambda = z...
Homework Statement
Find the point closest to the origin on the line of intersection of the planes y + 2z = 12 and x + y = 6Homework Equations
\nuf = \lambda\nug1 +\mu\nug2
f = x2+y2+z2
g1: y + 2z = 12
g2: x + y = 6
There are supposed to be gradients on all of those, whether or not LaTeX...
I follow what you said, and I had a feeling it was something simple like that. I am slightly confused, though, about one of your simplifications of the division. You said that
xy-2x = xy-y gives xy = -y.
Shouldn't that be y = 2x, instead? If not, I'm not quite seeing how you...
Hey all, this is my first post, so I apologize in advance if data are missing/format is strange/etc.
I'm working with lagrange multipliers, and I can get to the answer about half the time. The problem is, I'm not really sure how to deal with things when the multiplier equation becomes...