Suppose you are climbing a hill whose shape is given by the equation z = 1000 - 0.005x2 - 0.01y2, where x, y and z are measured in meters, and you are standing at point with coordinates (60, 40, 966). the positive x-axis points east and the positive y-axis points north. if you walk due south, will you start to ascend or descend? at what rate? if you walk northwest, will you start to ascend or descend? at what rate? in which direction is the slope largest? what is the rate of ascent in that direction? at what angle above the horizontal does the path in that direction begin?

Two groups of students were asked how many hours they spent reading each day. the table below shows the numbers for each group: group a 1 2 1 1 3 3 2 2 3 group b 3 2 3 2 2 2 1 1 2 based on the table, which of the following is true? the interquartile range for group a students is 0.5 less than the interquartile range for group b students. the interquartile range for group a students is equal to the interquartile range for group b students. the interquartile range for group a employees is 0.5 more than to the interquartile range for group b students. the interquartile range for group a employees is 1 more than the interquartile range for group b students.