In each part, find an exponential growth model y = y0ektthat satisfies the stated

Chapter 8, Problem 17

(choose chapter or problem)

In each part, find an exponential growth model $y=y_{0} e^{k t}$ that satisfies the stated conditions.

(a) $y_{0}=2$; doubling time $ T=5$

(b)$y(0)=5$; growth rate $1.5\%$

(c)$ y(1)=1;y(10)=100$

(d) $y(1)=1$; doubling time $ T=5$

Equation Transcription:

$y={y}_{0}{e}^{kt}$

${y}_{0}=2$

$T=5$

$y(0)=5$

$y(1)=1;y(10)=100$

$y(1)=1$

Text Transcription:

y=y_0 e^kt

y_0=2

T=5

y(0)=5

y(1)=1;y(10)=100

y(1)=1

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