Explanation Given info: r → ( t ) = ( cos 2 t , sin 3 t ) t = π 4 Formula used: d d t ( r → ( t ) ) Calculation: Let r → ( t ) = ( cos 2 t , sin 3 t ) d d t r → ( t ) = ( − 2 sin 2 t , 3 cos 3 t ) At t = π 4 , we get r → ( π 4 ) = ( cos 2 π 4 , sin 3 π 4 ) r → ( π 4 ) = ( cos π 2 , sin 3 π 4 ) = ( 0 , 1 2 ) And also, d d t r → ( t ) = ( − 2 sin 2 t , 3 cos 3 t )

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.2, Problem 32E

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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 31E

Chapter 14.2, Problem 33E

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

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Chapter 14 Solutions