A space probe in the shape of the ellipsoid 16x² + y² +42² = 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) = 32x² + 4yz-16z +603. Find the hottest point on the probe's surface. The hottest point is (+0D). (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)
A space probe in the shape of the ellipsoid 16x² + y² +42² = 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) = 32x² + 4yz-16z +603. Find the hottest point on the probe's surface. The hottest point is (+0D). (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A space probe in the shape of the ellipsoid 16x² + y² + 4z² = 41 enters a planet's atmosphere and its surface begins to heat. After hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z) = 32x² + 4yz - 16z+603. Find the hottest point on the probe's surface.
The hottest point is (+[
(Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)
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