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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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