Chapter 13.3, Problem 5E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Find the length of the curve.

**5. r**(*t*) = **i** + *t*^{2} **j** + *t*^{3} **k**, 0 ≤ *t* ≤ 1

To determine

**To find:** The length of the curve *L* for the vector equation

Explanation

**Given data:**

**Formula used:**

Write the expression to find length of the curve *L* for the vector

Here,

Find the tangent vector

Write the following formula to compute the expression for

Apply the corresponding formula in equation (2) to find

Take magnitude on both sides of equation (3)

Sect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8ESect-13.1 P-9ESect-13.1 P-10E

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