Show transcribed image text For (x,y)- – 'y' and the point (2, 1, 12) on it's surface (a) (b) find the first partial derivatives at the point find the following two tangent vectors to the surface at the point in the i direction at the point in the j direction at the point (c) (d) using the two vectors in part (b) find normal vector to tangent plane at the point using the normal vector and set-up an equation with a dot product that will determine tangent plane equation (e) (f) find the linearization L(x,y) of the function at (2, 1, 12) find equation of line perpendicular to the surface of f(x,y) at (2, 1, 12) from previous work.
For (x,y)- – 'y' and the point (2, 1, 12) on it's surface (a) (b) find the first partial derivatives at the point find the following two tangent vectors to the surface at the point in the i direction at the point in the j direction at the point (c) (d) using the two vectors in part (b) find normal vector to tangent plane at the point using the normal vector and set-up an equation with a dot product that will determine tangent plane equation (e) (f) find the linearization L(x,y) of the function at (2, 1, 12) find equation of line perpendicular to the surface of f(x,y) at (2, 1, 12) from previous work.
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