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Show that the osculating plane at (x, y, z) on the curve of intersection of the cylinders x2 + z² = a², y² + z² = b² is given by xx²³ - z z² − a² _ y y² − z z² − bª - - a² B²

Show that the osculating plane at (x, y, z) on the curve of intersection of the cylinders x2 + z² = a², y² + z² = b² is given by xx²³ - z z² − a² _ y y² − z z² − bª - - a² B²

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.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Show that the osculating plane at (x, y, z) on the curve of intersection of the cylinders 2²+ z² = a², y² + z² = b² is given by 3 -z z-a² xx²³ −12² −dª – YR² −12 −6² - z bª B² .
Transcribed Image Text:Show that the osculating plane at (x, y, z) on the curve of intersection of the cylinders 2²+ z² = a², y² + z² = b² is given by 3 -z z-a² xx²³ −12² −dª – YR² −12 −6² - z bª B² .
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