Chapter 13.1, Problem 7E

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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.

**7. r**(*t*) = ⟨sin *t*, *t*⟩

To determine

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

Explanation

**Definition:**

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

Here,

**r**, and

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

From definition, write the parametric equations for vector function

Consider a certain interval of *t* as

The estimated values of *x* and *y* in the interval

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