Chapter 13.3, Problem 12E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

For each shaded region in Problems 7-12, (a) find the points of intersection of the curves, (b) form the integral that represents the area of the shaded region, and (c) find the area of the shaded region.

**(a)**

To determine

**To calculate:** The point of intersection of the curve

Explanation

**Given information:**

The provided region is:

**Formula used:**

The steps for calculating the point of intersection of the curve are:

Step 1: Consider the equations in the curve.

Step 2: Solve the equations for any variable

Step 3: Substitute the value of the variable in any of the equation to calculate the value of other variable.

**Calculation:**

Consider the curve:

Consider the formula:

The equations are:

And

Substitute

Solve to get:

Thus,

**(b)**

To determine

**To calculate:** The integral that represents the area of the shaded region.

**(c)**

To determine

**To calculate:** The area of the region

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