Mathematics

Mathematics

Problem

For 0≤t≤2π0\le t\le 2\pi hours, water flows into and out of a storage tank at a rate R(t)=5cos⁡t−3R(t)=5\cos t-3 liters per hour. Which interval yields the greatest net increase in the amount of water in the tank? a) [0, π][0,\,\pi] b) [0, 2π][0,\,2\pi] c) [0, π2][0,\,\tfrac{\pi}{2}] d) [π2, π][\tfrac{\pi}{2},\,\pi]

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