The temperature at a point (, y) on a metal plate in the xy-plane is T(x, y) = x³ + 2y² +x degrees Celsius. As- sume that distance is measured in centimeters and find the rate at which temperature changes with respect to distance if we start at the point (1, 2) and move (a) to the right and parallel to the x-axis (b) upward and parallel to the y-axis.

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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The temperature at a point (x, y) on a metal plate in the
xy-plane is T(x, y) = x' + 2y² +x degrees Celsius. As-
sume that distance is measured in centimeters and find the
%3D
rate at which temperature changes with respect to distance
if we start at the point (1, 2) and move
(a) to the right and parallel to the x-axis
(b) upward and parallel to the y-axis.
Transcribed Image Text:The temperature at a point (x, y) on a metal plate in the xy-plane is T(x, y) = x' + 2y² +x degrees Celsius. As- sume that distance is measured in centimeters and find the %3D rate at which temperature changes with respect to distance if we start at the point (1, 2) and move (a) to the right and parallel to the x-axis (b) upward and parallel to the y-axis.
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