Chapter 13.1, Problem 13E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Sketch the curve with the given vector equation. Indicate with an arrow the direction in which *t* increases.

**13. r**(t) = *t*^{2} **i +** *t*^{4} **j +** *t*^{6} **k**

To determine

**To sketch:** the curve of vector equation
*t*.

Explanation

**Given data:**

Vector function is

**Definition:**

Consider a vector function as
** C** are,

Here,

**r**, and

*x*, *y*, and *z* are parametric equations of ** C**.

From definition, write the parametric equations of vector function

From parametric equations, it is obvious that, for any value of *t* when

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