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The temperature in degrees Celsius C of the water in a pond is a differential...

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Calculus

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The temperature in degrees Celsius C of the water in a pond is a differential function of time The table below shows the water temperature as recorded on various days for a 15 day period r days 13 15 w C 31 24 0 27 2 31 6 35 Sw t dt 10 36 a Use the data from the table to find an approximation for w 8 Show the computations that lead to your answer Using correct units interpret the meaning of w 8 in the context of the problem b Do the data in the table support the conclusion that at some time during the 15 day period w t 0 If so within what time interval Give a reason to support your answer c Do the data in your table support the conclusion that the water temperature at some point in the 15 day period is equal to 25 C If so within what smallest time interval Justify your conclusion d Use Trapezoidal sums with five subintervals and values from the table to approximate 15

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