18. 15 points BerrApCalc7 9.1.055. My Notes Ask Your Teacher A medical examiner called to the scene of a murder wil usually take the temperature of the body. A corpse cools at a rate proportional to the difference between its temperature and the temperature of the room. If y(t) is the temperature (in degrees Fahrenheit) of the body t hours after the murder, and if the room temperature is 70 then y satisfies y' =-0.32(y-70) y(0)-98.6 (body temperature initially 98.6) (a) Solve this differential equation and initial condition. y= (b) Use your answer to part (a) to estimate how long ago the murder took place if the temperature of the body when it was discovered was 90°. [Hint: Find the value of t that makes your solution equal 90°] (Round your answer to two decimal places.) t- hr Need Help? Read It 19. -15 points BerrApCalc7 9.1.056. My Notes Ask Your Teacher Hospital patients are often given glucose (blood sugar) through a tube connected to a bottle suspended over their beds. Suppose that this "drip" supplies glucose at the rate of 15 mg per minute, and each minute 10% of the accumulated glucose is consumed by the body. Then the amount y(t) of glucose (in excess of the normal level) in the body after t minutes satisfies the following -15 y(0) = 0 0.y Do you see why?) (zero excess glucose at t = 0) Solve this differential equation and initial condition y(t)- Need Help?Read It