The spread of a fungal infection in an ant colony can be modeled by dy
dt =
y + 1
2β t<...
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Advanced Placement (AP), 15.04.2021 06:20 Wolfzbayne
The spread of a fungal infection in an ant colony can be modeled by dy
dt =
y + 1
2β t
where t is the time in hours
and y is the percent of the ants infected. At t = 1 only three percent of the ants are infected.
a) Write an equation for the line tangent to the graph of y at t = 1. Use the tangent line to
approximate the percentage of the colony infected at t = 1.2.
b) Find y explicitly in terms of t
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