The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 2 hours after a person takes 500 milligrams of a pain reliever, one-half of the original dose remains. Find a particular solution which gives the quantity of pain reliever in a person's body after t hours. Round coefficients to two decimal places.
A) milligrams
B) milligrams
C) milligrams
D) milligrams
E) milligrams

Question

The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 2 hours after a person takes 500 milligrams of a pain reliever, one-half of the original dose remains. Find a particular solution which gives the quantity of pain reliever in a person's body after t hours. Round coefficients to two decimal places.
A) milligrams 
B) milligrams 
C) milligrams 
D) milligrams 
E) milligrams

Quizplus · Accepted Answer

The Answer of The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 2 hours after a person takes 500 milligrams of a pain reliever, one-half of the original dose remains. Find a particular solution which gives the quantity of pain reliever in a person's body after t hours. Round coefficients to two decimal places.
A) milligrams 
B) milligrams 
C) milligrams 
D) milligrams 
E) milligrams

The Rate of Change with Respect to Time of the Quantity