- #1
Hart
- 169
- 0
Homework Statement
Considering the surface of a sphere of radius [itex]1[/itex] with its centre at coordinates
[itex](0,0,0)[/itex].
For the function:
[tex]f(x,y,z) = x^{3} + y^{3} + z^{3}[/tex]
Need to find the following:
(i) All the extrema on the surface which have x, y and z all non-zero simultaneously.
(ii) All the extrema on the surface which have x = 0. [don’t need to say whether the extrema are maxima or minima.]
Homework Equations
Within the problem question statement and solutions.
The Attempt at a Solution
.. not really sure how to start this