# 2.3.notes - brief explanation. (c) Estimate the slope of...

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MAC 2233/001-006 Business Calculus, Fall 2011 CRN: 81700–81702, 81705, 81716, 81715 Assistants : Matthew Fleeman, Arbin Rai, Tadesse Zerihun, Vindya Kumari, Junyi Tu, Jing- han Meng An example on estimating derivatives/rates of change from a graph The following graph shows the revenue R (in thousands of dollars per week) of your new convenience store t weeks after it is open. R A B C D 0 10 20 30 8 6 4 2 0 10 t (a) At which of the points A,B,C,D , is the weekly revenue increasing fastest? Give a brief explanation. (b) For which value(s) of t is revenue ±at, that is, neither increasing nor decreasing? Give a
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Unformatted text preview: brief explanation. (c) Estimate the slope of the tangent line at the point where t = 9. What does your answer tell you about the revenues of your new store? (d) Estimate the slope of the secant line with endpoints at t = 1 and t = 7. What does your answer tell you about the revenues of the store? (e) Estimate the value(s) of t when the weekly revenue is increasing at a rate of 6 thousand dollars per week. You might want to give a brief description of your method so that partial credits can be given....
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