Calculus

3.9: Rates of Change in the Sciences

Rates of Change: Economics

Example 9.1: Analyzing the Marginal Cost of Producing a Commercial Product

Example 9.2: Minimizing the Average Cost of Producing a Commercial Product

Rates of Change: Physics (Charge & Current)

Example 9.7: Modeling Electrical Current in a Wire

Physics: Particle Motion

A particle moves on a vertical line so that its coordinate at time t is

a) Find the velocity and acceleration functions.b) When is the particle moving upward and

when is it moving downward?c) Find the distance that the particle travels in

the time interval [0, 3].d) Find the interval(s) where the particle is

speeding up and slowing down.

Physics: Particle Motion