In: Math
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
(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