What was the instantaneous rate of change of the value of, Mathematics

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What was the instantaneous rate of change of the value of

The values of certain types of collectibles can often fluctuate greatly over time. Suppose that the value of a particular limited edition ceramic figurine is found to be able to be modeled by the function V(t) = -0.01t⁴ + 0.56 t³ - 9.90 t² + 45.36 t + 200 for 0 ≤t ≤ 20 where V(t) is in dollars, t is the number of years after it was released and t = 0 corresponds to the year 1995.

a) What was the value of the figurine in 1998?

b) What is the value of the figurine in 2015?

c) What was the instantaneous rate of change of the value of the figurine in 2005?

d) What is the instantaneous rate of change of the value of the figurine in 2015?

e) Use your answers from parts a-d to ESTIMATE the value of the figurine in 2016.

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