snipez90 said:Differentiate the equation and substitute t = 2 into M'(t).
TayTayDatDude said:Elaborate please.
The equation represents the rate at which the amount of medicine in the blood changes over time after an injection. The variable t represents time, and M(t) represents the amount of medicine in the blood at a specific time t.
The rate of change of medicine amount is calculated by taking the derivative of the equation M(t) with respect to time. This will give the instantaneous rate of change at a specific time point.
The unit for the rate of change of medicine amount is typically expressed as units of medicine per unit of time, such as milligrams per minute or micrograms per second.
The coefficient of t^2, which is -1/3 in this equation, represents the acceleration of the rate of change. This means that the rate at which the medicine amount changes increases or decreases at a faster rate as time goes on, depending on the sign of the coefficient.
No, this equation can only give an estimate of the amount of medicine in the blood at a specific time. Other factors such as absorption, distribution, and metabolism of the medicine can also affect the final amount in the blood.