Difference between revisions of "Math 22 Exponential Growth and Decay"
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| + | ==Exponential Growth and Decay== | ||
| + | If <math>y</math> is a positive quantity whose rate of change with respect to time | ||
| + | is proportional to the quantity present at any time <math>t</math>, then is of the form | ||
| + | <math>y=Ce^{kt}</math> | ||
| + | where <math>C</math> is the initial value and <math>k</math> is the constant of proportionality. Exponential growth is indicated by <math>k>0</math> and exponential decay by <math>k<0</math>. | ||
[[Math_22| '''Return to Topics Page''']] | [[Math_22| '''Return to Topics Page''']] | ||
'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' | ||
Revision as of 09:11, 11 August 2020
Exponential Growth and Decay
If is a positive quantity whose rate of change with respect to time is proportional to the quantity present at any time , then is of the form where is the initial value and is the constant of proportionality. Exponential growth is indicated by and exponential decay by .
This page were made by Tri Phan