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# In Example 5, we modeled a measles pathogenesis curve by a function $f$. A patient infected with the measles virus who has some immunity to the virus has a pathogenesis curve that can be modeled by, for instance, $g(t) = 0.9 f(t)$.(a) If the same threshold concentration of the virus is required for infectiousness to begin as in Example 5, on what day does this occur?(b) Let $P_3$ be the point of the graph of $g$ where infectiousness begin. It has been shown that infectiousness ends at a point $P_4$ on the graph of $g$ where the line through $P_3$, $P_4$ has the same slope as the line through $P_1$, $P_2$ in Example 5(b). On what day does infectiousness end?(c) Compute the level of infectiousness for this patient.

## a. 11th day (11.250)b. $-23(x-11)$c. 4387.2

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Missouri State University

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University of Michigan - Ann Arbor

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Kennesaw State University

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp