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Need answers to this as well as details to fully understand how to do the problem. Thank you so much in advance! :)
a. Find all local extrema for (x, y) = 2y3 + 12x2 â 24xy
b. Find the absolute maximum and minimum values of the function f(x, y) = x2 + xy + y2
on the disc x2 + y2 ⤠1
a. Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point.
f(x, y) = x2 â y2 + 3xy
b. Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point.
f(x, y) = x2 + y2 â xy