Problem

Using limited data A scientist has limited data on the temperature T (in °C) during a 24-h...

Using limited data A scientist has limited data on the temperature T (in °C) during a 24-hour period. If t denotes time in hours and t = 0 corresponds to midnight, find the fourth-degree polynomial that fits the information in the following table.

t (hours)

0

5

12

19

24

T (°C)

0

0

10

0

0

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