Suppose you are climbing a hill whose shape is given by the equation z =1600 – 0.005x² – 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1566). The positive x-axis points east and thepositive y-axis points north.(a) If you walk due south, will you start to ascend or descend?ascenddescendAt what rate?vertical meters per horizontal meter(b) If you walk northwest, will you start to ascend or descend?ascenddescendAt what rate? (Round your answer to two decimal places.)vertical meters per horizontal meter(c) In which direction is the slope largest?What is the rate of ascent in that direction?vertical meters per horizontal meterAt what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)

Name: Suppose you are climbing a hill whose shape is given by the equation
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: Suppose you are climbing a hill whose shape is given by the equation z =1600 – 0.005x² – 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1566). The positive x-axis points east and thepositi