Practices on Max/Min.
Find the relative extrema for the following functions:
[Ans: Set and no critical number]
[Ans: no crical number]
[Ans: Set yields, the crical number at Since and has a local minimum at
[Ans: has a local minimum at . ]
[Ans: has a local minimum at ]
[Ans: has a relative maximum at .]
[Ans: has a saddle point at and a relative minimum at ]
[Ans: has a saddle point at and a relative minimum at ]
[Ans: has a relative minimum at ]
[Ans: has saddle points at and ]
Use Maple to sketch the contour map (collections of the level curves for ) for problems (g) through (j) above.
Given the following surface determined by the function find if is a curve on the surface.
. (where and are constants). [Ans: ]
[Ans: ]
(where and are constants) [Ans: