Chapter 13.3, Problem 27E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Use Formula 11 to find the curvature.

**27.** *y* = *x*^{4}

**28.** *y* = tan *x*

**29.** *y* = *xe ^{x}*

To determine

**To find**: The curvature of

Explanation

**Given data:**

Plane equation is

**Formula used:**

Consider a plane curve equation in the form of

Write the expression for curvature according to Formula 11.

Here,

*x*,

The equation
*y* is a function of *x*. Hence consider

Write the plane equation.

Substitute
*y*,

Apply differentiation with respect to *x* on both sides of equation.

Apply differentiation with respect to *x* on both sides of equation

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