Your job is to erect a telescope on the newly discovered planet's moon. You must place the telescope in a location where the moon’s magnetic field is the weakest. The magnetic field of a planet's moon is given by the formula: M(x,y,z) = 6x – y² + xz + 85 where (x,y,z) is a point on the surface of the moon. If the moon’s shape is a sphere with a radius of 6 miles, determine the best location for the telescope. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Your job is to erect a telescope on the newly discovered planet's moon. You
must place the telescope in a location where the moon's magnetic field is the
weakest. The magnetic field of a planet's moon is given by the formula:
M(x,y,z) = 6x – y² + xz + 85 where (x,y,z) is a point on the surface of the
moon. If the moon's shape is a sphere with a radius of 6 miles, determine the
best location for the telescope.
Transcribed Image Text:Your job is to erect a telescope on the newly discovered planet's moon. You must place the telescope in a location where the moon's magnetic field is the weakest. The magnetic field of a planet's moon is given by the formula: M(x,y,z) = 6x – y² + xz + 85 where (x,y,z) is a point on the surface of the moon. If the moon's shape is a sphere with a radius of 6 miles, determine the best location for the telescope.
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