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A comment on Xkcd strip used as a exam question. Parent comment
Integrating, you get -20(e^(-0.05(2x-14)) - e^(-0.05(x/2+7)))
The derivative (eliminating the constant) is: (e^0.7)(-0.1)(e^(-0.1x))+(e^-0.35)(0.025)(e^(-0.025x))
Wolfram gives about 32.5 as the root. You can plot the integral (try www.coolmath.com/graphit) and mouse over to confirm.
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Integrating, you get -20(e^(-0.05(2x-14)) - e^(-0.05(x/2+7)))
The derivative (eliminating the constant) is: (e^0.7)(-0.1)(e^(-0.1x))+(e^-0.35)(0.025)(e^(-0.025x))
Wolfram gives about 32.5 as the root. You can plot the integral (try www.coolmath.com/graphit) and mouse over to confirm.