Winter 2006 Solutions

# Winter 2006 Solutions - Math 115 First Midterm Exam...

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2 1. (18 points) The frst and only edition oF a certain calculus book came out in 1994. A partial publisher’s record re±ecting the price p , in dollars, oF the book t years aFter it was frst published is given below. t 0 2 4 6 8 p 67 61 54 46 37 (Assume p and its derivative are di²erentiable Functions.) (a) (5 pts.) Use the data to estimate p (6). Show your work; include units. p (6) p 37 46 2 + 46 54 2 P 1 2 = p 9 2 + ( 4) P 1 2 = 4 . 25 dollars per year. (b) (4 pts.) Use your answers From part (a) to give a practical interpretation oF p (6). You should only use everyday language that a non-calculus student would understand. In 2000 the price oF the book was dropping by about 4 dollars and 25 cents per year. (c) (3 pts.) You somehow fnd out that p (8) = 5 . 25. What is the most reasonable estimate oF the price oF the book in 2003? Show brieF work. p
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Winter 2006 Solutions - Math 115 First Midterm Exam...

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