George B.
asked • 01/16/20The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.
- Estimate the value of T'(6). Give units in your answer.
- What is the meaning of T'(6)?
| t | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 |
| T | 73 | 73 | 70 | 68 | 73 | 80 | 86 | 89 |
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1 Expert Answer
Mark H. answered • 01/18/20
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You can estimate the slope at t=6 by using the values on either side:
t(4) = 70
t(8) = 73
Slope = (73-70)/(8-4) = +3/4
The slope (T') is simply the rate of change of the temperature as a function of time
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Stanton D.
So George, how can you convert a table into a graph, so that you can apply visual techniques or other math math as appropriate? And more importantly, why are the Times in the table given in Order (hint: Harry Potter??) -- Cheers, -- Mr. d.01/17/20