The table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in

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The table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t.

t                                     N(t) (thousands)

2000..................................... 5,500

2002..................................... 4,897

2004..................................... 7,470

2006..................................... 9,138

2008................................... 10,897

2010................................... 11,561

2012................................... 13,035


(a) What is the meaning of N′(t)? What are its units?

(b) Construct a table of estimated values for N′(t).

(c) Graph N and N′.

(d) How would it be possible to get more accurate values for N′(t)?

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