A space probe in the shape of the ellipsoid 4x + y +4z = 41 enters a planet's atmosphere and its surface begins to heat. After 1 hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z) = 8x + 4yz - 16z + 599. Find the hottes point on the probe's surface. The hottest point is (+ OD

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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A space probe in the shape of the ellipsoid 4x +y +4z = 41 enters a planet's atmosphere and its surface begins to heat. After 1 hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z) = 8x + 4yz - 16z + 599. Find the hottest
point on the probe's surface.
.....
The hottest point is
D.
Transcribed Image Text:A space probe in the shape of the ellipsoid 4x +y +4z = 41 enters a planet's atmosphere and its surface begins to heat. After 1 hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z) = 8x + 4yz - 16z + 599. Find the hottest point on the probe's surface. ..... The hottest point is D.
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