magiblot

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My solution...

Answered: magiblot 25

May 30 2017

1 14

Finally, I have come up with a script that calculates iteratively all critical points and Lagrange solutions and discards the ones which are out of the domain.

I'm not very familiar with Maple, so there are a few things which are yet to improve:

I had to introduce the conditions in two different formats, so that they can both be evaluated and used as parameters for LagrangeMultipliers.
I don't know how to avoid writing the function expression manually to plot3d's arguments.
I could search for the absolute maximum and minimum in a list, but I think it's not necessary, since they can be chosen at sight. I still might add it later.
It probably lacks efficiency.
This could have been implemented as a function instead, like vv did, but I don't know how it's done.

Note: the results in the preview are shown incomplete, but they are fine in the original file.

1. Write in f the function given by the exercise statement.
2. Write in conditionsLogic the region where f is defined as a logical expression (like it already is in the statement).
3. Write in conditionsList the same as before but in the following way: if y >= (3/25)*x-61/10 is a condition, we add (3/25)*x-61/10-y to the list (conditions must be separated by comma).