Raising 100 grams of water from 40 to 60 °c (the specific heat capacity of water is 1 cal/g) requires the addition of What? A) 1
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x2=x+2 at x=−1 and x=2 so we have no need to worry about the end-points
f(x)=x+2−x^2
df/dx=1–2x
and that is zero (indicating a maximum) at x=1/2
So the maximum distance is f(1/2)=2.5–0.25=2.25
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