A hot metal bar is submerged in a large reservoir of water whose temperature is 75 F. The temperature of the bar 20s after submersion is 120 F. After 1 min submerged, the temperature has cooled to 100 F. (a) Determine the cooling constant k. k = (b) What is the differential equation satisfied by the temperature F(t) of the bar? F"(t) Use F for F(t). (c) What is the formula for F(1)? F(t)

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