calculus 3.9: rates of change in the sciences. rates of change: economics

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Calculus 3.9: Rates of Change in the Sciences

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Page 1: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

Calculus

3.9: Rates of Change in the Sciences

Page 2: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

Rates of Change: Economics

Page 3: 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

Page 4: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

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

Page 5: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

Rates of Change: Physics (Charge & Current)

Page 6: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

Example 9.7: Modeling Electrical Current in a Wire

Page 7: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

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.

Page 8: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics
Page 9: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics
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Page 11: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics

Physics: Particle Motion

Page 12: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics