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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 12 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) = 12x -y +xz + 210. Where should you locate the radio telescope? The coordinates of the points where the telescope could be placed on the surface of the planet are (x,y,z) = (+ ). (Simplify your answer. Type exact answers, using radicals as needed.)

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 12 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) = 12x -y +xz + 210. Where should you locate the radio telescope? The coordinates of the points where the telescope could be placed on the surface of the planet are (x,y,z) = (+ ). (Simplify your answer. Type exact answers, using radicals as needed.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 35CR
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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 12 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) = 12x - y + xz + 210. Where should you locate the radio telescope? The coordinates of the points where the telescope could be placed on the surface of the planet are (x,y,z) = (+ ). (Simplify your answer. Type exact answers, using radicals as needed.)
Transcribed Image Text: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 12 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) = 12x - y + xz + 210. Where should you locate the radio telescope? The coordinates of the points where the telescope could be placed on the surface of the planet are (x,y,z) = (+ ). (Simplify your answer. Type exact answers, using radicals as needed.)
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere The dimensions are (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere The dimensions are (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)
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