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t T (t) denote the temperature in Toronto, with T (0) being the temperature at 4:00am on a Tuesday, and T (24) being the temperature

t T (t) denote the temperature in Toronto, with T (0) being the temperature at 4:00am on a Tuesday, and T (24) being the temperature at 4:00am the next day. The lowest temperature during this 24 hour period was 10 degrees Celsius, which occurred at t = 0 and t = 24, and the highest temperature during this period was 22 degrees Celsius. Fix an h such that 0 h 24. Show that we can always find a time 0 t 24 such that T (t) = T (t + h). 5

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