Chapter 5.5, Problem 40E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Finding Area** In Exercises 35-40, use a graphing utility to graph the region bounded by the graphs of the functions. Find the area of the region by hand.

To determine

**To calculate:** The region bounded by the graphs of functions

Explanation

**Given Information:**

The region bounded by the graphs of

**Formula used:**

Area of a region bounded by two graphs is calculated using the following formula,

If *f* and *g* are continuous on *x* in *f*, *g*,

**Calculation:**

Consider the following functions,

Use Ti-83 calculator to graph the provided region as follows:

Step 1: Press

Step 2: Press “Window” key. Set the viewing window as,

Step 3: Press “2^{nd}”, “Trace” and then “5” key to compute intersection point. Press “Enter” key three times. The intersection point of two graphs is found as

Press “2^{nd}”, “Trace” and then “5” key to compute intersection point. Press “Enter” key two times. Scroll near to second intersection point. The second intersection point of two graphs is found as

Press “2^{nd}”, “Trace” and then “5” key to compute intersection point. Press “Enter” key two times. Scroll near to third intersection point. The third intersection point of two graphs is found as

Step 5: Press “Vars” key, scroll to right and press “Enter” key to open “Functions.” Scroll to “

The graph will be shown as follows:

Step 6: Press “2^{nd}”, “Mode”, “2^{nd}” and then “PRGM” key to open “Draw” menu. Scroll to “7:Shade” and press “Enter.”

Step 7: Press “Vars” key, scroll to right and press “Enter” key to open “Functions.” Scroll to “

The graph will be shown as follows:

**Interpretation:**

From the above, the required area consists of two regions. First region is the area bounded by the graphs of

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