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Mathematics, 28.02.2021 16:20 ladybugys

You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interference, you want to place it where the magnetic field of the planet is weakest. The planet is spherical, with a radius of 6 units. Based on a coordinate system whose origin is at the center of the planet, the strength of the magnetic field is given by M(x, y, z) =6x-y^2+xz+60. Where should you locate the radio telescope?

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