Suppose That $f ( x , y ) = x ^ { 2 } e ^ { y }$

Multiple Choice

Suppose that $f ( x , y ) = x ^ { 2 } e ^ { y }$ Find an equation for the tangent plane to f at the point (3, 0) .

A) $z = - 9 + 6 x + 27 y$
B) $z = 9 + 6 x + 27 y$
C) $z = - 9 + 6 x - 27 y$
D) $z = - 9 - 6 x + 27 y$