Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

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Presentation transcript:

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