Let ft and gt give respectively the amount of water in, Ask an Expert

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Let f(t) and g(t) give, respectively, the amount of water (in acre-feet) in two different reservoirs on day t. Suppose that f(0) = 2000, g(0) = 1500 and that f'(0) = 11, g'(0) = 13.5. Let h(t) = f(t) - g(t).

(a) Evaluate h(0) and h'(0). What do these quantities tell you about the reservoir?

(b) Assume h'is constant for 0 ≤ t ≤ 250. Does h have any zeros? What does this tell you about the reservoirs?

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