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Differential Geometry (1.0) Consider the elliptic paraboloid z = 2x2 + 3y2. (a) Find a vector...

Differential Geometry

(1.0) Consider the elliptic paraboloid z = 2x2 + 3y2.

(a) Find a vector normal to the paraboloid at the point p = (1, 2, 14);

(b) find the equation of the tangent plane to the paraboloid at the point p = (1, 2, 14).

(c)   Determine a point on the tangent plane (other than (1, 2, 14)). Connect it to (1, 2, 14) to find a vector v(1, 2, 14) on the tangent plane

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