Temperature of boiling water The temperature T (in °C) at which water boils is related to the elevation h (in meters above sea level) by the formula
h = 1000(100 −T) + 580(100 − T)2 for 95 ≤ T ≤ 100.
(a) At what elevation does water boil at a temperature of 98°C?
(b) The elevation of Mt. Everest is approximately 8840 meters. Estimate the temperature at which water boils at the top of this mountain. (Hint: Use the quadratic formula with x = 100 −T.)
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