The spread of a fungal infection in an ant colony can be modeled by dt dy y+1 %3D where t is the time in hours 2/7 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.
The spread of a fungal infection in an ant colony can be modeled by dt dy y+1 %3D where t is the time in hours 2/7 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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