Pаrts (а), (b) аre distinct frоm each оther. (a) Find and classify the critical pоints of the function (f(x,y)=xy e^{-x-y}). (i.e. local maxima, local minima and saddle points.) (b) Find the maximum and minimum values of (g(x,y)=xy-8x-y^2+y+2) over the closed triangular region with vertices (0,0), (3,0) and (0,3). PLEASE READ THE INSTRUCTIONS BELOW CAREFULLY: When you have completed your entire exam do not hit “Submit” to submit the exam on Canvas yet, get your phone and scan your written work for questions 6, 7 and 8 (only) to upload to Gradescope www.gradescope.com or use the gradescope app. Make sure that all pages have been uploaded to Gradescope. Once you’re done scanning and uploading to Gradescope, then submit the exam on Canvas. If you experience any difficulties uploading your solutions to Gradescope, only then submit a single .pdf file in the space provided below. Do not close the current Honorlock session until you have submitted your solutions to Gradescope and then submitted the exam on Canvas. Submitting any solutions to Gradescope or Canvas after the Honorlock proctoring session has ended constitutes a violation of the UMass Academic Honesty policy and will be dealt with accordingly.