At Barrow, Alaska, atmospheric carbon dioxide levels (in parts per million) can be modeled using the function

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At Barrow, Alaska, atmospheric carbon dioxide levels (in parts per million) can be modeled using the function defined by C(t) = 0.04t2 + 0.6t + 330 + 7.5 sin(2πt), where t is in years and t = 0 corresponds to 1960.

(a) Graph C(t) on [0, 25].
(b) Find C(25), C(35.5), and C(50.2).

(c) Find C′(50.2) and interpret.

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