Answered: Percent infected 100- 80- 60- 40- 20-…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The fungus Fusarium exosporium 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 time t (in days) since planting is shown
in Figure 16.
(a) What are the units of the rate of change of f (t) with respect to t? What does this rate measure?
(b) Use the graph to rank (from smallest to largest) the average infection rates over the intervals [0, 12], [20, 32], and
[40, 52]. (d) Draw the tangent line at t = 40 and estimate its slope.

Percent infected
100-
80-
60-
40-
20-
Days after planting
60
10
20
50
30
40
FIGURE 16

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