Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0.005x2 – 0.01y², where the positive x-axis points east and the positive y- axis points north. %3D (a) If you walk due south, what will be your slope of ascent or descent? (b) If you walk northwest, what will be your slope of ascent or descent? (c) Among all possible directions of travel, what is the largest slope of ascent?
Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0.005x2 – 0.01y², where the positive x-axis points east and the positive y- axis points north. %3D (a) If you walk due south, what will be your slope of ascent or descent? (b) If you walk northwest, what will be your slope of ascent or descent? (c) Among all possible directions of travel, what is the largest slope of ascent?
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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Transcribed Image Text:Suppose you are standing at a point P = (60,40) on a hill whose shape is given by
f(x, y) = 1000 – 0.005x² – 0.01y², where the positive x-axis points east and the positive y-
axis points north.
(a) If you walk due south, what will be your slope of ascent or descent?
(b) If you walk northwest, what will be your slope of ascent or descent?
(c) Among all possible directions of travel, what is the largest slope of ascent?
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