Question: Problem 2. Consider the function f(x, y) = 9 - x^2 - y^2. (a) Find the equation for the plane that is tangent to the

Problem 2. Consider the function f(x, y) = 9 - x^2 - y^2.

(a) Find the equation for the plane that is tangent to the graph of f at the point (3,2,-4).

(b) Find the vector equation of the line that passes through the point (0,0,9) and travels in the normal direction to the graph of f at (0,0,9).

(c) Find the point of intersection between the plane computed in part (a) and the line computed in part (b).

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