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Derivatives Consider the following parametric curves.a.

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 45E Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 45E

Derivatives Consider the following parametric curves.

a. Determine dy/dx in terms of t and evaluate it at the given value of t.

b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t.

x = 2 + 4t, y = 4 − 8t; t = 2

Step-by-Step Solution:

Solution 45E

Step 1:        To obtain the derivative we need which we can also write as                Evaluating andseparately, we get

   

    Putting the valuesand  into evaluate , we get

.Hence the value of is which is independent of t.

Step 2 of 2

Chapter 10.1, Problem 45E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Derivatives Consider the following parametric curves.a.

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