oint (, y; 2) is tiver by The temperature at a point (x, y, z) is given by T(«, у, 2) — 1500е s me where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, –1, 2) in the direction toward the point Q(3, –3, 3). Answer: D f(2, –1, 2) : PQ 2. In what direction does the temperature increase fastest at P? Answer: se a 3. Find the maximum rate of increase at P. Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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oint (, y; 2) is tiver by
The temperature at a point (x, y, z) is given by
T(«, у, 2) — 1500е
s me
where T is measured in °C and x, y, and z in meters.
1. Find the rate of change of the temperature at the point P(2, –1, 2) in the direction toward the point Q(3, –3, 3).
Answer: D f(2, –1, 2) :
PQ
2. In what direction does the temperature increase fastest at P?
Answer:
se a
3. Find the maximum rate of increase at P.
Answer:
Transcribed Image Text:oint (, y; 2) is tiver by The temperature at a point (x, y, z) is given by T(«, у, 2) — 1500е s me where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, –1, 2) in the direction toward the point Q(3, –3, 3). Answer: D f(2, –1, 2) : PQ 2. In what direction does the temperature increase fastest at P? Answer: se a 3. Find the maximum rate of increase at P. Answer:
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