(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.) d_H= cit (b) Find the equilibrium solution to the differential equation. H= Determine from the differential equation whether the equilibrium is stable or unstable. 0 stable 0 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 = 7 hours. (Round your answer to one decimal place.) CW 7. [/6 Points] The rate at which a drug leaves the bloodstream and passes into the urine is proportional to the quantity of the drug in the blood at that time. (a) Write a differential equation for the quantity, Q, of the drug in the blood after t hours. Use k as the proportionality constant with k > 0. 1: at (b) Suppose when an initial dose of Q3 is injected directly into the blood, 20% is left in the blood after 5 hours. How much of the drug is in the patient's body after 10 hours if the patient is given 400 mg initially? Round your answer to two decimal places. :ng