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A space probe in the shape of the ellipsoid 36x² + y² + 4z² =20 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)=72x²2+4yz-16z+599. Find the hottest point on the probe's surface. The hottest point is (+00 (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 36x² + y² + 4z² =20 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)=72x²2+4yz-16z+599. Find the hottest point on the probe's surface. The hottest point is (+00 (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Advanced Engineering Mathematics
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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Please help me with this homework. Thanks. (Please I need it to be systematic so that I can understand it thank you.)
A space probe in the shape of the ellipsoid 36x² + y² + 4z² = 20 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) = 72x² + 4yz-16z+599. Find the hottest point on the probe's surface. The hottest point is (+00 (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.) Inc
Transcribed Image Text:A space probe in the shape of the ellipsoid 36x² + y² + 4z² = 20 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) = 72x² + 4yz-16z+599. Find the hottest point on the probe's surface. The hottest point is (+00 (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.) Inc
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