Suppose you are climbing a hill whose shape is given by the equation z = 1300 -0.005x²0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 1164). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? Oascend O descend At what rate? 1.6 vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) -√2 5 vertical meters per horizontal meter (c) In which direction is the slope largest? (-1.2, -1.6) What is the rate of ascent in that direction? (2) vertical meters per horizontal meter

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