Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive x−axis points east and the positive y−axis points north. If you walk northwest from point P, will you start to ascend or descend? At what rate? To answer this, do I need to make my function f(x,y) a
Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive x−axis points east and the positive y−axis points north. If you walk northwest from point P, will you start to ascend or descend? At what rate? To answer this, do I need to make my function f(x,y) a
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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Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2 where x, y,
and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive
x−axis points east and the positive y−axis points north.
If you walk northwest from point P, will you start to ascend or descend? At what rate?
To answer this, do I need to make my function f(x,y) and then take the gradient, or do I need it to be f(x,y,z) and then take the gradient?
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