(a) Make a conjecture about the effect on the graphs ofy = y0ekt and y = y0ekt of
Chapter 8, Problem 37(choose chapter or problem)
(a) Make a conjecture about the effect on the graphs of \(y=y_{0} e^{k t}\) and \(y=y_{0} e^{-k t}\) of varying k and keeping \(y_{0}\) fixed. Confirm your conjecture with a graphing utility.
(b) Make a conjecture about the effect on the graphs of \(y=y_{0} e^{k t}\) and \(y=y_{0} e^{-k t}\) of varying \(y_{0}\) and keeping k fixed. Confirm your conjecture with a graphing utility.
Equation Transcription:
Text Transcription:
y = y_0e^kt
y = y_0e^-kt
y_0
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