Crop YIELD If left untreated on bean stems, aphids (small insects that suck plant juices) will multiply at an increasing rate during the summer months and reduce productivity and crop yield of cultivated crops. But if the aphids are treated in mid-June, the numbers decrease sharply to less than 100/bean stem, allowing for steep rises in crop yield. The function F ( t ) = { 62 e 1.152 t i f 0 ≤ t < 1 .5 349 e − 1.324 ( t − 1.5 ) i f 1.5 ≤ t ≤ 3 gives the number of aphids on a typical bean stem at time t , where t is measured in months, t = 0 corresponding to the beginning of May. Find the average number of aphids on a typical bean stem over the period from the beginning of May to the beginning of August.
Solution Summary: The author calculates the average number of aphids on the typical bean stem from May to June by using the function F(t).
Crop YIELD If left untreated on bean stems, aphids (small insects that suck plant juices) will multiply at an increasing rate during the summer months and reduce productivity and crop yield of cultivated crops. But if the aphids are treated in mid-June, the numbers decrease sharply to less than 100/bean stem, allowing for steep rises in crop yield. The function
F
(
t
)
=
{
62
e
1.152
t
i
f
0
≤
t
< 1
.5
349
e
−
1.324
(
t
−
1.5
)
i
f
1.5
≤
t
≤
3
gives the number of aphids on a typical bean stem at time t, where t is measured in months, t = 0 corresponding to the beginning of May. Find the average number of aphids on a typical bean stem over the period from the beginning of May to the beginning of August.
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