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Suppose that the temperature of a cup of coffeetminutes after it is poured is given by

T(t) = 22 + 70e^(kt), wherek=1/52.

Find the average temperature of the coffee during the first 32 minutes after it is poured. (answer symbolically in whole form)

Estimate the area under the graph of f(x) = 6 +x2on the interval [2,4] using,

(a)Six rectangles and left endpoints.