Let p denote the population of the United States (in millions)in the year t, and assume
Chapter 3, Problem 58(choose chapter or problem)
Let \(p\) denote the population of the United States (in millions) in the year \(t\), and assume that \(p\) is defined implicitly as a function of \(t) by the equation
\(0=\ln p+45.817-\ln (2225-4.2381 p)-0.02225 t\)
Use implicit differentiation to show that the rate of change of \(p\) with respect to \(t\) satisfies the equation
\(\frac{d p}{d t}=10^{-5} p(2225-4.2381 p)\)
Equation Transcription:
Text Transcription:
P
T
P
T
0=lnp+45.817-ln(2225-4.2381p)-0.02225t
dpdt=10-5p(2225-4.2381p)
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