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Chapter 10: Q. 15 (page 777)

Consider the function f shown in the graph next at the right. Use the graph to make a rough estimate of the average value of f on [鈭�4, 4], and illustrate this average value as a height on the graph.

Short Answer

Expert verified

The solution is9.

Step by step solution

01

Step 1. Given information

We are given with a function f and its graph.

The objective is to estimate the area of f on [-4,4].

02

Step 2. Calculation

Consider the rough approximation for the function given in the diagram.

The values of the functions are at f(0)=54andf(3)=0

Then, the rough value for the average can be calculated as shown below.

=14-(-4)鈭�-44(54-18x)dx=18[54x-9x2]-44 =18[216-144+216+144]=18(432)=9

Thus, the rough value for the average is9.

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