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For the paraboloid: = = f (x,y) =10 - 4x3 - 72 1. Find the directional derivative of f (a, y) at the point (1. 2) in the direction of vector v=3i-4j. Answer. -1.6 2. What is the maximum rate of change of f (a, y) at the point (1, 2)? Answer. sqit(80) 3.What direction does this maximum rate of increase occur? Answer. 4. Find the equation of its level curve that passes through the point (1, 2). Answer. 4x 2 + v 2 = 0 5. Find the equation of the tangent line to the level curve at the point (1, 2). Answer. 2x + y= 4