Find the maximum and minumum values of on the curve
by the method of Lagrange Multipliers.
If is substituted into , we get a function
which has only a max value on R. Explain how the extreme values you obtained in the first part can be obtained from h(t).
I only know how to find the max and min from the orgin to to a surface, how do i deal with it when is from
Running through this one's first half, I already found the maximum and minimum values. I'll post them up (but not the steps).
Max:
Min: and
The second half of this question, however, has me a bit puzzled, as it seems to be a bit of a trick question. The issue I'm having is that is a parabola that has a maximum at 5 (which matches the first half), though it doesn't have a minimum (or at least no absolute minimum). So how would one find the minimum extrema using ?