9. Microtutorial E defoliate balsam fir. They are preyed upon by birds. A model for the ny per capita predation rate (percentage of worms that are eaten) is given by Spruce budworms are a major pest that re 12N f(N) = 81+ N2 where N denotes the density of spruce budworms measured in worms per square meter. Determine where the predation rate is increasing and where it is decreasing. fIN) = 12N 81+N2 F'>0-7f 1 f'(9)=D0 07,3 fIN)=(12)(81TN2) -(12N)(2N) ( 62+N²)2 f'16)=12(81- fIN)=12(81- Incred Co,a) -(zN+18) it decre 18 =78 (9,0 9. 6= 18=N

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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9. Microtutorial E
defoliate balsam fir. They are preyed upon by birds. A model for the ny
per capita predation rate (percentage of worms that are eaten) is given
by
Spruce budworms are a major pest that re
12N
f(N) =
81+ N2
where N denotes the density of spruce budworms measured in worms
per square meter. Determine where the predation rate is increasing
and where it is decreasing.
fIN) = 12N
81+N2
F'>0-7f 1
f'(9)=D0
07,3
fIN)=(12)(81TN2) -(12N)(2N)
( 62+N²)2
f'16)=12(81-
fIN)=12(81-
Incred
Co,a)
-(zN+18)
it
decre
18 =78
(9,0
9.
6= 18=N
Transcribed Image Text:9. Microtutorial E defoliate balsam fir. They are preyed upon by birds. A model for the ny per capita predation rate (percentage of worms that are eaten) is given by Spruce budworms are a major pest that re 12N f(N) = 81+ N2 where N denotes the density of spruce budworms measured in worms per square meter. Determine where the predation rate is increasing and where it is decreasing. fIN) = 12N 81+N2 F'>0-7f 1 f'(9)=D0 07,3 fIN)=(12)(81TN2) -(12N)(2N) ( 62+N²)2 f'16)=12(81- fIN)=12(81- Incred Co,a) -(zN+18) it decre 18 =78 (9,0 9. 6= 18=N
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