Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 230 + 40t3; t = 1
Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT [See Example 1.] (Round your answers to one decimal place.)
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
Eatimate of rate of change of a quantity
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