# Measles pathogenesis curve by function #f# (see details for questions)?

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This question is relevant to **Area Between Curves**.

*I don't know what that constitutes under Socratic guidelines, so it is mentioned here.*

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)=0.9f(t).#

- If the threshold concentration of the virus required for infectiousness to begin is
#"1210 cells/mL"# , on what day does this occur?
- Let
#P_3# be the point on the graph of #g# where infectiousness begins. 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 slope #-23# . On what day does infectiousness end?
- Compute the level of infectiousness for this patient.

This question is relevant to **Area Between Curves**.

*I don't know what that constitutes under Socratic guidelines, so it is mentioned here.*

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,

- If the threshold concentration of the virus required for infectiousness to begin is
#"1210 cells/mL"# , on what day does this occur? - Let
#P_3# be the point on the graph of#g# where infectiousness begins. 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 slope#-23# . On what day does infectiousness end? - Compute the level of infectiousness for this patient.

##### 1 Answer

Hi...this is only an attempt, completely without any (probable) connection with your question....because I didn't know the function

#### Explanation:

I found on the internet this:

http://www.ms.uky.edu/~ma138/oldexams/Answer_Key_Ex1_S13.pdf

Where

In your case should be:

I tried to plot this function:

Solving for

I think it should be

To answer question 2) we need a line passing through the above initial point:

We can use the general relationship from maths:

where for us:

we can use this line to find the intercepts with:

with again three solutions:

I would choose

for question 3) I do not have any idea at all....sorry!