The temperature T in a square region of the (x, y) plane is given by the formula T(x, y) = 2 y – x + 7, x, y E (-4,4). An ant inside the square region is initially at the point (1, ). What is the equation of the curve the ant should move along in order to ensure that the temperature it experiences decreases as rapidly as possible? y = Express your answer in the form f(x).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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The temperature T in a square region of the (x, y) plane is given by the formula
T(x, y) = 2 y – x + 7,
х, у € (-4,4).
An ant inside the square region is initially at the point (1, -). What is the equation of the curve the ant should move along in order to
ensure that the temperature it experiences decreases as rapidly as possible?
y =
Express your answer in the form f(x).
Transcribed Image Text:The temperature T in a square region of the (x, y) plane is given by the formula T(x, y) = 2 y – x + 7, х, у € (-4,4). An ant inside the square region is initially at the point (1, -). What is the equation of the curve the ant should move along in order to ensure that the temperature it experiences decreases as rapidly as possible? y = Express your answer in the form f(x).
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