Chap13 Et Student Solutions 2e

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13 CALCULUSOF VECTOR-VALUED FUNCTIONS 13.1 Vector-Valued Functions (LT Section 14.1) Preliminary Questions 1. Which one of the following does not parametrize a line? (a) r (t) ...

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...Calculusof vector valued functions lt section preliminary questions which one of the following does not parametrize a line r t b ti tj tk c solution thisisaparametrizationofthelinepassingthroughthepoint inthedirectionparalleltothevector since using parameter s we get this is parametrization through origin with direction v in particular points at and are collinear what projection etk onto xz plane path curve traced by e k z ex cost sint circle theparametricequations x y theprojection cos sin xy therefore weexpressy terms parabola yz hence nd as function again center i j contained holds weconcludethat radius centered point may howdothepathsr around unit differ thetwopathsdescribetheunitcircle however ast increasesfromto thepointonthepathsinti costj movesinaclockwisedirection whereas on costi sintj moves counterclockwise three same space d allthe curves except for lie vertical identify each parametric equations...

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Posted on: 27 Jan 2023 | 2 years ago
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