1. The problem statement, all variables and given/known data Find absolute maxima and minima of the function in the given region: T(x,y) = x2 + xy + y2 - 6x Region: Rectangular plate given by: 0 ≤ x ≤ 5, -3 ≤ y ≤ 3 2. Relevant equations First derivative test, fx =0, fy = 0 Second derivative test, fxxfyy - fxy2 = ? 3. The attempt at a solution I know I need to check the boundaries of the region, which would be four lines connecting the endpoints (0, -3), (0, 3), (5, -3), (5, 3). Do I also need to check for extrema the normal way (i.e., not caring about the region) and then see if any of those points lie within the region..? I have a general idea of what I'm supposed to be doing but I'm not 100% sure.