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Non-calculator section: The weight of a baby elephant grows rapidly during the first several...

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Accounting

Non-calculator section:
The weight of a baby elephant grows rapidly during the first several days after birth. The rate
of weight gain can be modeled as a monotonic increasing, differentiable function W(t), and
select values of this function are given in the table:
a) What is the average rate of change of the rate of weight gain of a baby elephant over the first
11 days after birth? Use correct units and interpret your answer in the context of the question.
b) Is there a time in between t=0 and t=11 days such that the rate of weight gain of baby
elephants is exactly equal to 10 pounds/day? Justify your answer.
c) The average baby elephant is 200 pounds at birth (t=0). Use a right Riemann sum with 4
intervals to estimate the weight of a baby elephant when it is 11 days old.
d) Will your answer in part c be an overestimate or an underestimate? Justify your answer.
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