1. The number N(t) of supermarkets throughout the country thatare using a computerized checkout system is described by theinitial-value problemdN/dt = N(1 - 0.0005N), N(0) = 1.(a) Use the phase portrait concept of Section 2.1 to predicthow many supermarkets are expected to adopt the newprocedure over a long period of time. By hand, sketch asolution curve of the given initial-value problem.(b) Solve the initial-value problem and then use a graphingutility to verify the solution curve in part (a). How manycompanies are expected to adopt the new technology whent = 10?
1. The number N(t) of supermarkets throughout the country thatare using a computerized checkout system is described by theinitial-value problemdN/dt = N(1 - 0.0005N), N(0) = 1.(a) Use the phase portrait concept of Section 2.1 to predicthow many supermarkets are expected to adopt the newprocedure over a long period of time. By hand, sketch asolution curve of the given initial-value problem.(b) Solve the initial-value problem and then use a graphingutility to verify the solution curve in part (a). How manycompanies are expected to adopt the new technology whent = 10?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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1. The number N(t) of supermarkets throughout the country that
are using a computerized checkout system is described by the
initial-value problem
dN/dt = N(1 - 0.0005N), N(0) = 1.
(a) Use the phase portrait concept of Section 2.1 to predict
how many supermarkets are expected to adopt the new
procedure over a long period of time. By hand, sketch a
solution curve of the given initial-value problem.
(b) Solve the initial-value problem and then use a graphing
utility to verify the solution curve in part (a). How many
companies are expected to adopt the new technology when
t = 10?
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