Explanation Given info. r ( t ) = 〈 sin 3 t , cos 4 t , cos 5 t 〉 t = π 2 Concept used: r ( t ) = d d t r ( t ) = d d t t n = n t n − 1 d d t c = 0 ; C = Constant Calculation: r ( t ) = 〈 sin 3 t , cos 4 t , cos 5 t 〉 r ( t ) i = sin 3 t V ( t ) i = r ' ( t ) i = 3 cos 3 t ( Single differentiation w .r .t t ) r ( t ) J = cos 4 t V ( t ) J = r ' ( t ) J = − 4 sin 4 t r

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.3, Problem 17E

To determine

Find the speed at the given value of $t = \frac{π}{2}$

$r (t) = 〈 \sin 3 t, \cos 4 t, \cos 5 t 〉$

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Chapter 14.3, Problem 16E

Chapter 14.3, Problem 18E

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Find the speed at the given value of t = π 2 r ( t ) = 〈 sin 3 t , cos 4 t , cos 5 t 〉

Solution Summary: The author explains that the speed at t = 2 is 5 based on the given info.

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Find the speed at the given value of $t = \frac{π}{2}$

$r (t) = 〈 \sin 3 t, \cos 4 t, \cos 5 t 〉$

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Chapter 14 Solutions

Find the speed at the given value of t = π 2 r ( t ) = 〈 sin 3 t , cos 4 t , cos 5 t 〉

Solution Summary: The author explains that the speed at t = 2 is 5 based on the given info.

Concept explainers

Videos

Find the speed at the given value of t=π2 r(t)=〈sin3t,cos4t,cos5t〉

Want to see the full answer?

Chapter 14 Solutions

Find the speed at the given value of $t = \frac{π}{2}$

$r (t) = 〈 \sin 3 t, \cos 4 t, \cos 5 t 〉$