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Integrating to Find Net or Accumulated Change

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Explanations 1

From the Fundamental Theorem of Calculus, we have that ∫abf(x)dx=F(b)−F(a)\int_{a}^{b} f(x) dx = F(b) - F(a)∫abf(x)dx=F(b)−F(a), where F(x)F(x)F(x) is the antiderivative of f(x…
By Water Those, Moor Xu

Problems 2

In a certain town, the rate of rainfall (in millimeters/day) follows the function r(t)=0.5t2−3t+7r(t) = 0.5t^2-3t+7r(t)=0.5t2−3t+7 Knowing this, what is the total amount of rain…
If her manager asks her to select a single, continuous 444-hour shift between 111111 AM and 111111 PM, what shift should she select to maximize the amount of tables that are occ…