For the population to the term we long ensure within the 0 ≤ 9540- => O that 106< - stable 52 160 < 100m². surovive weed to an+1 range m - * falls my < 10000 +52m - 0.954X106 ≤0. < 100m, 52m + 46000 ≤ 10⁰.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 78E
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Karr
Step2
b)
le
For the population to
the
long
term. We
ensure
within the
stable
50,
50,
= 9000-m +0.00006 (1000 + m) (9000 m)
= 9000 -mv + 6×10-5 (9x106 +8000m - m²)
= 9540 - (1-48) m
-m
= 9540 -
0 ≤ 9540 -
O
for
6
10⁰ < 100m².
the
the
The
expression
gives positive vahre
to
that
we
Кли
52
108
Hence
long
m
< 100m², 52m +
weed
52
021
m
2
survive in
weed to
+52m - 0.954X106 <0.
46000 < 106.
an+1
range.
mm < 10000
100m²
⇒ 100m² + 52m -
954000 ≤0
⇒ (m-97.4) (m + 97.9) 10.
97.9
and
100m² +52m + 46000 always.
for myo.
find the range of m
0≤m ≤ 97
maximum value of
population
form
falls
+52m + 46000 ≤106
is 97,
m ≤ 97.4.
m
survives in
for which
the
Transcribed Image Text:Karr Step2 b) le For the population to the long term. We ensure within the stable 50, 50, = 9000-m +0.00006 (1000 + m) (9000 m) = 9000 -mv + 6×10-5 (9x106 +8000m - m²) = 9540 - (1-48) m -m = 9540 - 0 ≤ 9540 - O for 6 10⁰ < 100m². the the The expression gives positive vahre to that we Кли 52 108 Hence long m < 100m², 52m + weed 52 021 m 2 survive in weed to +52m - 0.954X106 <0. 46000 < 106. an+1 range. mm < 10000 100m² ⇒ 100m² + 52m - 954000 ≤0 ⇒ (m-97.4) (m + 97.9) 10. 97.9 and 100m² +52m + 46000 always. for myo. find the range of m 0≤m ≤ 97 maximum value of population form falls +52m + 46000 ≤106 is 97, m ≤ 97.4. m survives in for which the
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