Question
The thickness of the ice on a lake for one week is modeled by the function: t(d)=-0.1d^3+1.2d^2-4.4d+14.8 where T is the thickness in cm and
The thickness of the ice on a lake for one week is modeled by the function:
t(d)=-0.1d^3+1.2d^2-4.4d+14.8
whereTis the thickness in cm anddis the number of days after December 31st.
Question 7 options:
a)Graph this function using graphing technology. Ensure your axes are properly set up, and state the domain and range that are appropriate for the situation. When do you think the warmest day occurred during the week? Justify your answer, then determine the average rate of change on a short interval near the point you chose.
b)Determine the instantaneous rate of change at this point.
c)Are the rates you calculated in a) and b) the same or different? Why do you think this is?
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
