Chapter 5.P, Problem 13P

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Suppose the graph of a cubic polynomial intersects the parabola

To determine

**To find:**

The relation between

Explanation

**1) Concept:**

Using

**2) Calculation:**

The general form of cubic polynomial can be written as

where

The cubic polynomial passes through the origin. Therefore, the equation becomes

At intersection of parabola an polynomial,

That is,

Since

So, the above function can be written as

This is the same as

The two areas are equal.

For the second region, there is a change in position of the upper and lower curves

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