A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, at each point is proportional to the distance from the point to the origin. If the temperature at point (3, 4) is 150°C, it is asked: (a) Find the rate of change of T at the point (3, 4) in the (−1, 1) direction. (b) In which directions is the rate of change zero? answer: a) 3 √2 b)The requested directions are (4, −3) and (−4, 3)
A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, at each point is proportional to the distance from the point to the origin. If the temperature at point (3, 4) is 150°C, it is asked: (a) Find the rate of change of T at the point (3, 4) in the (−1, 1) direction. (b) In which directions is the rate of change zero? answer: a) 3 √2 b)The requested directions are (4, −3) and (−4, 3)
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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, at each point is proportional to the distance from the point to the origin. If the temperature at point (3, 4) is 150°C, it is asked:
(a) Find the rate of change of T at the point (3, 4) in the (−1, 1) direction.
(b) In which directions is the rate of change zero?
answer: a) 3 √2
b)The requested directions are (4, −3) and (−4, 3)
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