An aqueduct has water flowing through it, supplying a nearby village. Recent surveys of the duct have shown that the flow of water throughout the day can be modeled by Q(1) = 85 – 67 sin() with t measured in hours after midnight (12:00 AM) and Q in m3/hr. - A young engineer figures that this would yield the total amount of water delivered to the town, at :) IT some time t, by the function, V(t) = 85t + 60 cos( • Confirm that this is indeed the correct function to predict the total amount of water delivered. • Use this function, V(t), to compute the total amount of water delivered to the town from midnight to 10 AM.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.