Explanation Given info: r → ( t ) = ( 1 − t 2 , 5 t , 2 t 3 ) And t = 2 Formula used: Calculation: Vector equation of the given equation is r → ( t ) = ( 1 − t 2 ) i ^ + 5 t j ^ , 2 t 3 k ^ (1) Now d d s ( r → ( t ) ) = d d s [ ( 1 − t 2 ) i ^ + 5 t j ^ + 2 t 3 k ^ ] = ( − 2 t i ^ + 5 j ^ + 6 t 2 k ^ ) Now the parametrization oftangent line at t = 2 is given by l → ( t ) = r → ( 2 ) + t [ d d s r → ( t ) ] t = 2

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Author: Rogawski

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Chapter 14.2, Problem 33E

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A parametrization of the tangent line at the point indicated for given equation.

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Chapter 14.2, Problem 32E

Chapter 14.2, Problem 34E

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Chapter 14 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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A parametrization of the tangent line at the point indicated for given equation.

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