3) The temperature at a point (x, y, z) is T(x,y,=)=10=³e z are measured in meters. Be sure to give appropriate units in answers. degrees Celsius where x, y and (a) Find the rate of change of the temperature at (1,2,1) in the direction toward (4,3,2). (b) A bug at (1,2,1) wants to fly in the direction in which the temperature increases most rapidly. In what direction should the bug travel? What is the rate of increase in that direction? (units)

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...
Question
3) The temperature at a point (x, y, z) is T(x,y,=) = 10=³e"
z are measured in meters.
Be sure to give appropriate units in answers.
degrees Celsius where x, y and
(a) Find the rate of change of the temperature at (1,2,1) in the direction toward (4,3,2).
(b) A bug at (1,2,1) wants to fly in the direction in which the temperature increases most rapidly.
In what direction should the bug travel? What is the rate of increase in that direction? (units)
Transcribed Image Text:3) The temperature at a point (x, y, z) is T(x,y,=) = 10=³e" z are measured in meters. Be sure to give appropriate units in answers. degrees Celsius where x, y and (a) Find the rate of change of the temperature at (1,2,1) in the direction toward (4,3,2). (b) A bug at (1,2,1) wants to fly in the direction in which the temperature increases most rapidly. In what direction should the bug travel? What is the rate of increase in that direction? (units)
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