Suppose ƒ : R² →→ R is a function and f(x, y) = 42 defines one of its level curves. A new insect, a two-dimensional cold-seeking bug, is walking around around on the level curve, muttering, "It's too hot on this thing!" If it wants to reach a colder region as quickly as possible, which direction should it take as it leaves the level curve? O tangent to the level curve O the direction in which the gradient points O the direction opposite to that in which the gradient points O the direction of the positive y-axis O the direction of the negative y-axis

Suppose ƒ : R² →→ R is a function and f(x, y) = 42 defines one of its level curves. A new insect, a two-dimensional cold-seeking bug, is walking around around on the level curve, muttering, "It's too hot on this thing!" If it wants to reach a colder region as quickly as possible, which direction should it take as it leaves the level curve? O tangent to the level curve O the direction in which the gradient points O the direction opposite to that in which the gradient points O the direction of the positive y-axis O the direction of the negative y-axis

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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set of integers is denoted by Z