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Mathematics, 21.02.2020 00:57 vgann3020

The spread of a fungal infection in an ant colony can be modeled by dy/dx = (y+1)/(2√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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The spread of a fungal infection in an ant colony can be modeled by dy/dx = (y+1)/(2√t) where t is t...
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