Recent content by hiigaranace

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 *...

Ah, crud, I see it now. Blasted algebra always gets me. Thanks for the help!

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...

You're doing it right, icy, don't worry.

Never mind, I pressed ahead and got the answer. Thanks! Problems like this have been driving me nuts for a couple of days now...

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...