1. Consider the following function defined in all of R2. Find all candidates for local extrema and use the second order test to determine the type (maximum, minimum, saddle point or unknown). f(x, y) = (22 + 2 -1)2. 2. Find the global maxima and minima of f(x, y) = x2 - y2 + 4x+ y on the set D = {(x, y) : -4