Chapter 13.3, Problem 45E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Use the formula in Exercise 42 to find the curvature.

**45.** *x* = *e ^{t}* cos

To determine

**To find**: The curvature of the plane with parametric equations

Explanation

**Given data:**

Parametric equations are

**Formula used:**

Consider the expression of curvature of plane with parametric equation

Here,

Consider the given equation.

Differentiate the equation with respect to *t*.

Find the value of

Consider the given expression.

Differentiate the equation with respect to *t*.

Find the value of

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