Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Q1. The temperature at a point (x, y, z) is given by T(x, y, z) = 100e¬ª²-y²-72² where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature in (°C/m) at the point P(4, –1, 4) in the direction toward the point Q(6, -4, 5) (b) In which direction does the temperature increase fastest at P?
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Transcribed Image Text:Q1. The temperature at a point (x, y, z) is given by T(x, y, z) = 100e¬ª²-y²-72² where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature in (°C/m) at the point P(4, –1, 4) in the direction toward the point Q(6, -4, 5) (b) In which direction does the temperature increase fastest at P?
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