The percent of defoliation is , where is the number of egg masses in thousands.

(a)

Graph:

Graph the function .

(b) Estimate the percent defoliation if egg masses are counted.

When , the percent defoliation is

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.

Graph:

Graph the function .

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Observe the graph:

When , the percent of defoliation is .

(c) Estimate the number of egg masses that existed if you observe that approximately of forest is defoliated.

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.

Graph:

Graph the function .

.

Observe the graph:

When defoliation is , the number of egg masses is .

(d)

Apply derivative on each side with respect to .

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Again apply derivative on each side with respect to .

The maximum value of occurs at .

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The is increasing rapidly when .

(a) 

Graph of the function :

(b) When , the percent of defoliation is .

(c) When defoliation is , the number of egg masses is .

(d) The is increasing rapidly when .