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Chapter 3: Q. 2 (page 291)

Consider the graph of the function f shown next. Define A(x) to be the area of the region between the graph of f and the x-axis from 0 to x. We will count areas of regions above
the x-axis positively and areas of regions below the x-axis negatively.

From the graph of f , estimate all local maxima and minima of A(x).

Short Answer

Expert verified

The local minimum of the function is at x=0,5 and the local maximum is at x=3.

Step by step solution

01

Step 1. Given Information.

The graph.

02

Step 2. Find all local maxima and minima.

From the graph, the area of the function is,

A(x)=12x44-96x33+180x22

From the graph, the local minimum of the function is at x=0,5and the local maximum is at x=3.

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Most popular questions from this chapter

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