min 2x+y subject to: x+y+z=1 and y^2+z^2=4
Any help would greatly be apprecaited.
put y = 2 cos(theta) and
z = 2 sin(theta)
x = 1-2(cos(theta) + sin(theta))
2x + y =
2 - 2 cos(theta) - 4 sin(theta)
It's not difficult to find the minimum of this function!
You can also use lagrange multipliers...