Find an Equation of the Tangent Plant to the Surface $z = x ^ { 2 } + 2 y ^ { 2 }$

Multiple Choice

Find an equation of the tangent plant to the surface $z = x ^ { 2 } + 2 y ^ { 2 }$ at the point $( 1,1,3 )$ .

A) $z = x + y + 1$

B) $z = x + 2 y$
C) $z = x - y + 3$
D) $z = x - 2 y + 4$
E) $z = 2 x + 2 y - 1$
F) $z = 2 x + 4 y - 3$

G) $z = 2 x - 2 y + 3$

H) $z = 2 x - 4 y + 5$