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Math 1304 Calculus I

Math 1304 Calculus I. 3.7 – Rates of Change. Applications: Things that change. Physics Density, volume, surface area mass, charge, energy, power, work position, velocity, acceleration Electricity, magnetism, gravitation Fluid, gas, solid, crystals Chemistry Concentration, reaction rates

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Math 1304 Calculus I

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  1. Math 1304 Calculus I 3.7 – Rates of Change

  2. Applications: Things that change • Physics • Density, volume, surface area • mass, charge, energy, power, work • position, velocity, acceleration • Electricity, magnetism, gravitation • Fluid, gas, solid, crystals • Chemistry • Concentration, reaction rates • Volume, mass, pressure, color, temperature, … • Biology • Populations (people, animals, plants) • Individuals (size, shape, activity) • Chemicals: hormones, toxins, … • Environmental factors: temperature, humility • Geology • Land mass, pressure, force, heat • Psychology • Performance, IQ, brain activity, … • Economics • Cost, production volume, marginal cost, profit, overhead

  3. Stock Market Values • Are these continues? • Are they differentiable?

  4. Exercises • See examples and problems in section 3.7.

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