Suppose you are climbing a hill whose shape is given by the equation 2 = 1.600 01005:? 0.01y2. where x. y] and z are measured in metersf and you are standing at a point with coordinates (30. ED. 1504}. The positive x-axis points east and the positive yaxis points north. (3} If you walk due south. will you start to ascend or descend? @ ascend C descend I At what rate {in vertical meters per horizontal meter)? 1.6 J vertical meters per horizontal meter (b) If I,rou wall: northwest, will you start to ascend or descend? ascend @C} descend At what rate (in vertical meters per horizontal meter)? {Round I.rour answer no two decimal places.) y vertical meters per horizontal meter to) In which direction is the slope largest? .90 roast What is the rate of ascent (in vertical meters per horizontal meter} in that direction? (Round your answer to two decimal places} x vertical meters per horizontal meter At what angle [in degrees) above the horizontal does the path in that direction begin? {Round your answer to two decimal places.) |:]x X {c} In which direction is the slope largest? gas? x What is the rate of ascent (in vertical meters per horizontal meter) in that direction? (Round your answer to two decimal places.) 3' vertical meters per horizontal meter At what angle (in degrees) above the horizontal does the path in that direction begin? {Round your answer to two decimal places.) Dx