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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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Maximum Curvature In Exercises 49-54, (a) find the point on the curve at which the curvature is a maximum and (b) find the limit of the curvature as

**(a)**

To determine

**To calculate:** The point on the curve at which the curvature is maximum.

Explanation

**Given:**

The function is:

**Formula used:**

The formula of curvature.

**Calculation:**

Consider the provided function:

Differentiate the function with respect to *x*:

Then,

Now, substitute these value in formula.

Now, differentiate *x*

**(b)**

To determine

**To calculate:** The limit of the curvature as x→∞.

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