1. The amount of money, M, in dollars, in a piggy bank after t days is given by M(t) = 2t³ + 2t + 10 a) How much money is in the piggy bank after 3 days? b) Determine the average rate of change of the amount of money in the piggy bank from day 1 to day 3. c) Estimate the instantaneous rate of change of the amount of money in the piggy bank after 2 days.

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1. The amount of money, M, in dollars, in a piggy bank after t days is given by M(t) = 2t³ + 2t + 10
a) How much money is in the piggy bank after 3 days?
b) Determine the average rate of change of the amount of money in the piggy bank from day 1 to day 3.
c) Estimate the instantaneous rate of change of the amount of money in the piggy bank after 2 days.
Transcribed Image Text:1. The amount of money, M, in dollars, in a piggy bank after t days is given by M(t) = 2t³ + 2t + 10 a) How much money is in the piggy bank after 3 days? b) Determine the average rate of change of the amount of money in the piggy bank from day 1 to day 3. c) Estimate the instantaneous rate of change of the amount of money in the piggy bank after 2 days.
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