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7. [4/7 Points] PREVIOUS ANSWERS SCALC8 14.6,034, ASK YOUR TEACHER PRACTICE ANOTHER Suppose you are climbing a hill whose shape is given by the equation 2 = 900 0.005x2 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (100, 120, 706) The positive xaxls points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? o ascend \" descend J At what rate? 24 u/ vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? " ascend o descend J At what rate? (Round your answer to two decimal places.) 2'6 x vertical meters per horizontal meter (c) In which direction is the slope largest? (1, 2.4) x What is the rate of ascent in that direction? 26 u/ vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 67.38 x