Identify the point(s) on the surface $ z=5 x^{2}+5 y^{2}-4 x+30 y-7 $ where the tangent plane is horizontal.
A) $( 0,0 , - 7 )$
B) $( - 4,30 , - 1 )$
C) $\left( \frac { 2 } { 5 } , 3 , \frac { 636 } { 5 } \right)$
D) $\left( \frac { 2 } { 5 } , 3 , - \frac { 264 } { 5 } \right)$
E) $\left( \frac { 2 } { 5 } , - 3 , - \frac { 264 } { 5 } \right)$

Question

Identify the point(s) on the surface $ z=5 x^{2}+5 y^{2}-4 x+30 y-7 $ where the tangent plane is horizontal. 
A) $( 0,0 , - 7 )$
B) $( - 4,30 , - 1 )$
C) $\left( \frac { 2 } { 5 } , 3 , \frac { 636 } { 5 } \right)$
D) $\left( \frac { 2 } { 5 } , 3 , - \frac { 264 } { 5 } \right)$
E) $\left( \frac { 2 } { 5 } , - 3 , - \frac { 264 } { 5 } \right)$

Quizplus · Accepted Answer

The Answer of Identify the point(s) on the surface $ z=5 x^{2}+5 y^{2}-4 x+30 y-7 $ where the tangent plane is horizontal. 
A) $( 0,0 , - 7 )$
B) $( - 4,30 , - 1 )$
C) $\left( \frac { 2 } { 5 } , 3 , \frac { 636 } { 5 } \right)$
D) $\left( \frac { 2 } { 5 } , 3 , - \frac { 264 } { 5 } \right)$
E) $\left( \frac { 2 } { 5 } , - 3 , - \frac { 264 } { 5 } \right)$

Identify the Point(s) on the Surface z=5x2+5y2−4x+30y−7 z=5 x^{2}+5 y^{2}-4 x+30 y-7 z=5x2+5y2−4x+30y−7

Identify the Point(s) on the Surface $z=5 x^{2}+5 y^{2}-4 x+30 y-7$