Section 11.6: Problem 7 (1 point) Consider the function at, 3;) = $2 + 4y2. Find the the directional derivative of f at the point (2, 1) in the direction given by the angle 9 = %1r. Find the vector which describes the direction in which f is increasing most rapidly at (2, 1). Section 11.6: Problem 9 (1 point) Suppose that you are climbing a hill whose shape is given by z = 990 0.02:1:2 0.1y2, and that you are at the point (100, 70, 300). In which direction should you proceed initially in order to reach the top 01 the hill fastest? D Ifiou climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)? L]