3. An influenza virus is spreading according to the function P(t) = 50(2) Where P is the number of people infected after t days a. How fast is the virus spreading after 1 week? b. Assuming exponential growth continues, after how many days is the spread of the virus accelerating by 1500 people/day per day?

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. An influenza virus is spreading according to the function P(t) = 50(2)
Where P is the number of people infected after t days
a. How fast is the virus spreading after 1 week?
b. Assuming exponential growth continues, after how many days is the spread of the
virus accelerating by 1500 people/day per day?
Transcribed Image Text:3. An influenza virus is spreading according to the function P(t) = 50(2) Where P is the number of people infected after t days a. How fast is the virus spreading after 1 week? b. Assuming exponential growth continues, after how many days is the spread of the virus accelerating by 1500 people/day per day?
3.0 when € =]
PO) = 50€
7A
3.5
= 50₂ ~$656
b. when P = 1500
50e
$
e ² = 1500÷50 = 30
2
= 1500
2 = In 30
t=21n 30 = 6.8 day
= 6.8 days
1. Assuming that exponential growth continues, it would take 6.8
of the virus to accelerate by 1500
for the spread
days for the
spreading
people / day per day.
Transcribed Image Text:3.0 when € =] PO) = 50€ 7A 3.5 = 50₂ ~$656 b. when P = 1500 50e $ e ² = 1500÷50 = 30 2 = 1500 2 = In 30 t=21n 30 = 6.8 day = 6.8 days 1. Assuming that exponential growth continues, it would take 6.8 of the virus to accelerate by 1500 for the spread days for the spreading people / day per day.
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