Second Question of Calculus How do you find areas (or volumes) of exotic shapes?
Two Questions of Calculus How do you find instantaneous rates of change (velocities)? How do you find areas (or volumes) of exotic shapes? These two questions have related answers.
Rates of Change Velocity – the rate of change of position (Slope or Rate of change of distance v. time) Acceleration – the rate of change of velocity (Slope or Rate of change of velocity v. time) Population growth rates Unemployment rates Production rates
Two Types of Rate of Change Average – Rate of change between 2 points Ex: average speed traveled during a trip The average rate of change = the slope of the line containing the two points (so this is a secant slope)