## anonymous one year ago A figure shows a portion of a graph of f(x) = x^2 + 3x + 1 and a rectangle with its base on the x-axis and a vertex on the graph. what is the area of the rectangle? (hint: f(2) is the height) ???

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1. anonymous

hmm, how do you find the rectangles width?

2. anonymous

This is all that it says, problem #70

3. anonymous

$$f(0.2)$$ is the height, not $$f(2)$$. The width of the rectangle is the difference between the interval's endpoints: $$0.3-0.2=0.1$$. So, the area of the rectangle is $$0.1\times f(0.2)$$.