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14 August, 09:53

To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are msec = - 148.8 and msec = - 112.8, respectively. Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.)

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  1. 14 August, 10:17
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    -130.8

    Step-by-step explanation:

    The average of the two slope values is ...

    (-148.8 - 112.8) / 2 = - 261.6/2 = - 130.8

    The slope of the tangent line at t=15 is approximately - 130.8.
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