cw 1

mat 203

Hi thank you for answering this question.

Given the function f(x,y) = x³+ 2y⁴+ 1.

A) What are all the critical points that can be found from this function. Use contour diagrams, tests, or anything else to find the critical points. Justify why those are the following critical points

b) Using the Langrange multiplier method, find the absolute minima and absolute maxima, if existent, for f(x,y) on the domain x²+ y²9

Please show all work for this question. A thumbs up will be given for proper work

Thank you!