The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w)=0.11w^(1.36) a)Find the average rate at which a carnivorous mammal's home range increases as the animal's weight grows from 200g to 450g. b) Find (H(500)-H(400))/(500-400) , and interpret this result.

skilpadw3 2022-07-25 Answered
The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H ( w ) = 0.11 w 1.36
a)Find the average rate at which a carnivorous mammal's home range increases as the animal's weight grows from 200g to 450g.
b) Find H ( 500 ) H ( 400 ) 500 400 , and interpret this result.
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Answers (2)

slapadabassyc
Answered 2022-07-26 Author has 21 answers
H ( w ) = 0.11 w 1.36 .
a ) H ( 200 ) H ( 450 ) 200 450 = ( 148.181 ) ( 446.439 ) 200 450 = 1.19303
b ) H ( 500 ) H ( 400 ) 500 400 = 515.219 380.36 500 400 = 1.3486

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Kenya Leonard
Answered 2022-07-27 Author has 6 answers
PART A>>>
Av rate = [ H(450) - H(200)] / (450 - 200)
= [ 446.44 - 148.18 ] / 250
= 298.26 / 250
= 1.193 hectacres/gram.
PART B>>> Av rate = [ 515.22 -380.36 ] / 100 = 134.86/100 = 1.35 hectacres/gram.

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