11.review.for.final - MAC 2233/001-006 Business Calculus...

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MAC 2233/001-006 Business Calculus, Fall 2011 CRN: 81700–81702, 81705, 81716, 81715 Name: Two points . Professor : Stephen Suen Section: Peer Leaders : Hana Aboul-Hosn, Toni Jung, Renan Mendonca 11. Review for final exam . This is a collection of problems for reviewing for the final exam. Question 1 . Mr. Rose started, 4 years ago, a computer networking company serving the local busi- nesses. The quarterly revenue R (in thousand dollars) is given by the graph below, where t is the number of quarters since June 2007. (a) Estimate the average rate of change of R from t = 0 to t = 16. (b) Estimate the rate of change of R at t = 11. (c) Estimate the value(s) of t at which R is increasing the fastest. Question 2 . Find the limits algebraically. (a) lim Δ x 0 f ( x + Δ x ) - f ( x ) Δ x , where f ( x ) = 2 x . (b) lim x 3 + x 2 x 2 - 9 . (c) lim x →−∞ 3 x + 1 x 2 + 10 .
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