a) Find the rate of change of temperature at (1, 1) in the direction of a = 2i – j. b) An ant at (1, 1) wants to walk in the direction in which the temperature drops most rapidly. Find a unit vector in that direction. -

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The temperature (in degrees Celsius) at a point (x,y) on a metal plate in the xy plane is : T(x,y)= xy/1+ x^2+y^2

(a) Find the rate of change of temperature at (1, 1) in the
direction of a = 2i – j.
%3D
(b) An ant at (1, 1) wants to walk in the direction in which
the temperature drops most rapidly. Find a unit vector
in that direction.
Transcribed Image Text:(a) Find the rate of change of temperature at (1, 1) in the direction of a = 2i – j. %3D (b) An ant at (1, 1) wants to walk in the direction in which the temperature drops most rapidly. Find a unit vector in that direction.
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