Question: 6. [-112 Points] DETAILS (a) A refrigerated object is placed in a 68F room. Write a differential equation for H, the temperature of the object

6. [-112 Points] DETAILS (a) A refrigerated object is placed in

6. [-112 Points] DETAILS (a) A refrigerated object is placed in a 68F room. Write a differential equation for H, the temperature of the object at time t. (Use k > 0 for the constant of proportionality.) : dt (b) Find the equilibrium solution to the differential equation. H= Determine from the differential equation whether the equilibrium is stable or unstable. stable unstable (c) Find the general solution for the differential equation. H= (d) The temperature of the object is 40F initially, and 48F one hour later. Find the temperature of the object after t = 5 hours. (Round your answer to one decimal place.) F

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