Recent content by mintygreen

First of all, thank you so much for the help. I'm still struggling even though I think I set up the equation correctly, I think its just figuring out how to work everything out algebraically. f(x,y,z)' = Lg(x,y,z)' + Mh(x,y,z)' 2(x-a)=L2(x-a) + M(2x -2) 2(y-b)=L2(x-b) + M(2y-2)...

No, this is my only account. I posted again because I figured you were holding off posting until I responded.

OK, so I guess that solves the problem of incorporating (-1,1,4). Can we actually say we want to maximize this equation, because we want to maximize the radius of the sphere? a^2 + b^2 +c^2 +2a-2b-8c = r ^2 -18 Does 2x + 4y + 6z = -136 still work as a constraint, and if so, how do I...

Ok, so the forumula is (x-a)^2 + (y-b)^2 + (z-c)^2 = r^2. If (-1,1,4) lies on the sphere, can we say that what r must equal at least what we get for r when we substitute -1,1,and 4 for the values of x,y, and z in this equation?

Find an equation of the largest sphere that passes through the point (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisfies the condition x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z) I know this problem requires Lagrange multipliers. I assume that x^2 + y^2 + z^2 is...