Question 11. (10 Points) Business The accompanying grap

Question 11. (10 Points) Business The accompanying graph shows the revenue (in billions of dollars) generate by the hardware industry in the United States from 1995 to 2007. Find the approximate average change in the revenue for each period.1996 to 20022002 to 2007Section 11.4 Tangent LinesQuestion 32. (20 Points)Business The cost of producing items isFind the marginal cost Find Find the actual cost to produce the 101st item.Compare the answers to (b) and (c). How are they related?Question 36. (20 Points)Health The eating behavior of a typical human during a meal can be described by Where is the number of minutes since the meal began and represents the amount (in grams) that the person has eaten by time Find the rate of change of the intake of food for a person 5 minutes into a meal and interpret it.Verify that the rate at which food is consumed is zero 24 minutes after the meal starts.Comment on the assumptions and usefulness of this function after 24 minutes. On the basis of your answer determine a logical range for the function.Section 11.5 Finding DerivativesFind the derivatives of the given functions. Example 1-4Question 1. (10 Points)1. Question 5. (10 Points)5. Question 51. (10 points)Business Assume that a demand equation is given by where is the price and is the quantity. Find the marginal revenue for the given production levels (values of ). 1000 units2500 units3000 units(Hint: From the demand equation express price in terms of quantity and use .)Bonus:Question 26. (10 Points)For the function find Difference Quotient: The instantaneous rate of change when .MBA 501Differential CalculusMathematics and Statistics for BusinessHomework Set 5 1
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