- #1
jimbo71
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Homework Statement
find the point closest to the origin on the curve of intersection of the plane 2y+4z=5 and the cone z^2=4x^2+4y^2
Homework Equations
The Attempt at a Solution
see 40 attachement. I found the used f(x,y,z)=x^2+y^2+z^2 and found its gradient. found ggrad and hgrad and set fgrad=lambda*ggrad+mu*hgrad. using the two constraint equations i attempted to solve for x,y,z,lamdbda,mu. Either I messed up the setting up of this problem or my algebra is wrong some where becuase I keep getting x^2=-25. This is preventing me from solving x,y,z,lambda,mu. Please tell me which of the two possible mistakes I made and also what steps do I take after correctly solving for x,y,z,lambda,mu. Thank you!