Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 866). The positive x-axis points east and the positive y-axis points (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At 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 meter
Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 866). The positive x-axis points east and the positive y-axis points (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At 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 meter
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x - 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 866). 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?
O ascend
O descend
At what rate?
vertical meters per horizontal meter
(b) If you walk northwest, will you start to ascend or descend?
O ascend
O descend
At 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 meter
At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)
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