The population of a virus in a host can be modeled by the function W that satisfies the differential equation dW dt = t - W₁ where W is measured in millions of virus cells and t is measured in days for 7 ≤ t < 12. At time t = 7 days, there are 14 million cells of the virus in the host. a) Write an equation for the line tangent to the graph of W at t = 7. Use the tangent line to approximate the number of virus cells in the host, in millions, at 10 days.
The population of a virus in a host can be modeled by the function W that satisfies the differential equation dW dt = t - W₁ where W is measured in millions of virus cells and t is measured in days for 7 ≤ t < 12. At time t = 7 days, there are 14 million cells of the virus in the host. a) Write an equation for the line tangent to the graph of W at t = 7. Use the tangent line to approximate the number of virus cells in the host, in millions, at 10 days.
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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