Find any relative maximum or minimum points or saddle points of the function $z=f(x, y)=x^{2}+y^{2}+2 x-6 y+3$.
A) saddle point at $(1,3,-3)$
B) relative minimum at (- $1,3,-7)$
C) saddle point at ( $-1,-3,29$ )
D) relative maximum at $(1,-3,33)$

Question

Quizplus · Accepted Answer

The function is a paraboloid opening upwards, and the critical point $(-1, 3)$ is a relative minimum with $z = -7$.

Find Any Relative Maximum or Minimum Points or Saddle Points z=f(x,y)=x2+y2+2x−6y+3z=f(x, y)=x^{2}+y^{2}+2 x-6 y+3z=f(x,y)=x2+y2+2x−6y+3

Find Any Relative Maximum or Minimum Points or Saddle Points $z=f(x, y)=x^{2}+y^{2}+2 x-6 y+3$