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Understanding the Context

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the hen & the hog

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Compute integral: $\int_0^4 80\,dx - 0.5 \int_0^4 x^2\,dx = [80x]_0^4 - 0.5 \left[ rac{x^3}{3}
ight]_0^4 = 320 - 0.5 \cdot rac{64}{3} = 320 - rac{32}{3} = rac{960 - 32}{3} = rac{928}{3}$.
Average = $ rac{1}{4} \cdot rac{928}{3} = rac{928}{12} = 77.\overline{3}$.

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