Question: If f ( x , y ) = 3 0 0 0 - x 2 - 9 y 2 [ meters ] gives the elevation

If f(x,y)=3000-x2-9y2[meters] gives the elevation of a mountain at sea level, what is the direction of the steepest ascent at P:(4,1)?
Find the unit normal vector in the direction of the exterior normal to the surface x2+2y2+z2=7 at (1,-1,2).
If f ( x , y ) = 3 0 0 0 - x 2 - 9 y 2 [ meters ]

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