Question: Consider the three points (4,1),(6,0), and (1,4).(a) Supposed that at(4,1),we know that fx=fy=0 and f>0,fyy=0, and fxy <0. What can we conclude about the behavior

Consider the three points (4,1),(6,0), and (1,4).(a) Supposed that at(4,1),we know that fx=fy=0 and f>0,fyy=0, and fxy<0. What can we conclude about the behavior of this function near the point (4,1)?(b) Supposed that at(6,0),we know that fx=fy=0 and f>0,fyy=0, and fxy<0. What can we conclude about the behavior of this function near the point (6,0)?(c) Supposed that at(1,4),we know that fx=fy=0 and f<0,fyy=0, and fxy>0. What can we conclude about the behavior of this function near the point (1,4)?Using this information, on a separate sheet of paper sketch a possible contour diagram for f.

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