Concept explainers
Using Rectangles to Approximate the Area of a Region In Exercises 1 and 2, use the rectangles to approximate the area of the region. See Example 1.
To calculate: The approximate area of the region for the equation
Answer to Problem 1E
Solution:
The approximate area of the provided region is 17.5 square units.
Explanation of Solution
Given Information:
A region lying between the graph of
Formula used:
The area of a rectangle with height h and width w is,
Calculation:
Consider the provided region of the graph,
Use five rectangles in the provided figure to approximate the area of the provided region.
Now, compute the heights of the rectangles by evaluating the function
As the width of each rectangle is 1, the sum of the areas of the five rectangles is,
Simplify further,
So, the approximate area of the provided region is 17.5 square units.
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Chapter B Solutions
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