Question

In: Math

A company's total sales (in millions of $) t months from now is given by the...

A company's total sales (in millions of $) t months from now is given by the function S(t)=2√t+10

1. Find the average rate of change in sales in four to six months from now.

2. Find the S'(t) with appropriate units. Use the limit definition of the derivative (with rationalizing) or technology

3. Find the sales and the instantaneous rate of change of sales in three months. Write a brief explanation of these results

Solutions

Expert Solution

(1)

Average rate of change in sales in four to six months

Average rate of the change

million dollar per month

(2)

limit definition of the derivative

million dollar per month

(3)

sale in 3 months

million dollars

Instantaneous rate of change of sales

million dollars per month


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