Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1266). 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? ascend descend Correct: Your answer is correct. At what rate? Incorrect: Your answer is incorrect. vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? ascend descend Correct: Your answer is correct. At what rate? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. vertical meters per horizontal meter (c) In which direction is the slope largest? Incorrect: Your answer is incorrect. What is the rate of ascent in that direction? Correct: Your answer is correct. 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.) Incorrect: Your answer is incorrect. °