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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax ISBN: 9781938168079 2033

Solution for problem 65 Chapter 3.2

Calculus Volume 3 | 1st Edition

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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax

Calculus Volume 3 | 1st Edition

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Problem 65

The position vector of a particle is \(\mathbf{r}(t)=5 \sec (2 t) \mathbf{i}-4 \tan (t) \mathbf{j}+7 t^{2} \mathbf{k}\).

a. Graph the position function and display a view of the graph that illustrates the asymptotic behavior of the function.

b. Find the velocity as t approaches but is not equal to \(\pi / 4\) (if it exists).

Text Transcription:

r(t) = 5 sec (2t) i - 4 tan (t) j + 7t^2 k

pi / 4

Step-by-Step Solution:
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Chapter 3.2, Problem 65 is Solved
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Textbook: Calculus Volume 3
Edition: 1
Author: Openstax
ISBN: 9781938168079

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