The table below gives values of the height of a tomato plant in inches over 20 days. Use these values and an appropriate numerical differen- tiation formula to estimate the rate of growth of the tomato plan over time. Plot a graph of the height of tomatoes and their rate of change over time. Does the rate of change plot reflect the derivatives along the graph of tomato heights. day height (inches) 4 6 8 10 12 14 16 18 02 8.23||9.66|| 10.55 || 12.68|| 14.20 15.5 || 16.27| 18.78 22.27 24.57

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The table below gives values of the height of a tomato plant in inches
over 20 days. Use these values and an appropriate numerical differen-
tiation formula to estimate the rate of growth of the tomato plan over
time. Plot a graph of the height of tomatoes and their rate of change
over time. Does the rate of change plot reflect the derivatives along the
graph of tomato heights.
day
0
2
6
8
height (inches) 8.23 9.66 10.55| 12.68 14.20
10 12
14
16
15.5 16.27 18.78 22.27
18
24.57
Transcribed Image Text:The table below gives values of the height of a tomato plant in inches over 20 days. Use these values and an appropriate numerical differen- tiation formula to estimate the rate of growth of the tomato plan over time. Plot a graph of the height of tomatoes and their rate of change over time. Does the rate of change plot reflect the derivatives along the graph of tomato heights. day 0 2 6 8 height (inches) 8.23 9.66 10.55| 12.68 14.20 10 12 14 16 15.5 16.27 18.78 22.27 18 24.57
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