+Days after planting 10 20 30 40 50 60 20 Days Percent infected 10 18 56 30 40 50 60 82 91 96 98 a) What are the units of the rate of change of f(1) with respect to t? What does this rat measure? b) Calculate the average infection rate between 20 and 40 days after planting.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1A) What are the units of the rate of change of f(t) with respect of t?
        What does this rate mesuare?

Show all your work and indicate your answers clearly. Simplify fully. Calculators NOT allowed.
1) The fungus Fusarium erosporium infects a field of flax plants through the roots and causes the
plants to wilt. Eventually, the entire field is infected. The percentage f(t) of infected plants as a
function of timet (in days) since planting is shown in the graph. Some specific data points are
given in the chart.
Percent infecied
100
80
60
40
20-
Days after planting
60
10
20
30
40
50
20
40
50
60
Days
Percent infected
10
30
0.
18
56
82 91
96
98
a) What are the units of the rate of change of f(t) with respect to t? What does this rate
measure?
b) Calculate the average infection rate between 20 and 40 days after planting.
Transcribed Image Text:Show all your work and indicate your answers clearly. Simplify fully. Calculators NOT allowed. 1) The fungus Fusarium erosporium infects a field of flax plants through the roots and causes the plants to wilt. Eventually, the entire field is infected. The percentage f(t) of infected plants as a function of timet (in days) since planting is shown in the graph. Some specific data points are given in the chart. Percent infecied 100 80 60 40 20- Days after planting 60 10 20 30 40 50 20 40 50 60 Days Percent infected 10 30 0. 18 56 82 91 96 98 a) What are the units of the rate of change of f(t) with respect to t? What does this rate measure? b) Calculate the average infection rate between 20 and 40 days after planting.
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