1 / 4

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

clarke
Télécharger la présentation

Math 1304 Calculus I

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related