Question: Consider the parametric surface [x=4 u+3 v,quad y=3 u+5 v, quad z=2 u^{2} ] A normal vector to this surface at (4,3,2) can be

$Consider the parametric surface \[x=4 u+3 v,\quad y=3 u+5 v, \quad z=2$

Consider the parametric surface \[x=4 u+3 v,\quad y=3 u+5 v, \quad z=2 u^{2} \] A normal vector to this surface at (4,3,2) can be given by (a, b, 1) What is a+b? (Hint: you may need to rescale your normal vector to get it in the correct form above)

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