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?Finding the Unit Tangent Vector In Exercises 1-6,find the unit tangent vector to the curve at the specified value of the parameter. \(\mathbf

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson ISBN: 9781285774770 141

Solution for problem 3 Chapter 12.4

Calculus: Early Transcendental Functions | 6th Edition

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Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Calculus: Early Transcendental Functions | 6th Edition

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Problem 3

Finding the Unit Tangent Vector In Exercises 1-6,find the unit tangent vector to the curve at the specified value of the parameter.

\(\mathbf{r}(t)=4 \cos t \mathbf{i}+4 \sin t \mathbf{j}, \quad t=\frac{\pi}{4}\)

Text Transcription:

r(t)=4 cos ti + 4 sin tj, t=pi/4

Step-by-Step Solution:

Step 1 of 5) Inverse Hyperbolic Functions The inverses of the six basic hyperbolic functions are very useful in integration (see Chapter 8). Since d(sinh x)>dx = cosh x 7 0, the hyperbolic sine is an increasing function of x. We denote its inverse by

Step 2 of 2

Chapter 12.4, Problem 3 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

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?Finding the Unit Tangent Vector In Exercises 1-6,find the unit tangent vector to the curve at the specified value of the parameter. \(\mathbf