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Math 1304 Calculus I

Math 1304 Calculus I. 3.8 – Exponential Growth. Applications: Things that grow proportional to their size. Physics Some nuclear reactions (explosions) Chemistry Some chemical reactions (explosions) Biology Populations (people, animals, plants) Individuals (size) Geology

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Math 1304 Calculus I

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  1. Math 1304 Calculus I 3.8 – Exponential Growth

  2. Applications: Things that grow proportional to their size • Physics • Some nuclear reactions (explosions) • Chemistry • Some chemical reactions (explosions) • Biology • Populations (people, animals, plants) • Individuals (size) • Geology • Some pressure, force, heat • Psychology • Mental growth, … • Economics • Some cost, production volume, profit, overhead • Compound interest

  3. Differential Equation • For the equation: dy/dt = k y • Solution (Th 2 on page 234) The only solutions are y(t) = y(0) e kt

  4. Exercises • See examples and problems in section 3.8.

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