The number of tree species S in a given area A in a forest reserve has been modeled by the power function S(A) = 0.882A0.842 where A is measured in square meters. Find S'(109). (Round your answer to five decimal places.) S'(109) = species/m2 Interpret your answer. O The rate of change of the number of tree species with respect to area is 45.45837 species/m². O The rate of change of the number of tree species with respect to area is -45.81226 species/m². O The rate of change of the number of tree species with respect to area is 0.35389 species/m². O The rate of change of the number of tree species with respect to area is 45.81226 species/m². O The rate of change of the number of tree species with respect to area is -0.35389 species/m².

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
The number of tree species S in a given area A in a forest reserve has been modeled by the power function
S(A) = 0.882A0.842
where A is measured in square meters. Find S'(109). (Round your answer to five decimal places.)
S'(109) =
species/m2
Interpret your answer.
O The rate of change of the number of tree species with respect to area is 45.45837 species/m².
O The rate of change of the number of tree species with respect to area is -45.81226 species/m².
O The rate of change of the number of tree species with respect to area is 0.35389 species/m².
O The rate of change of the number of tree species with respect to area is 45.81226 species/m².
O The rate of change of the number of tree species with respect to area is -0.35389 species/m².
Transcribed Image Text:The number of tree species S in a given area A in a forest reserve has been modeled by the power function S(A) = 0.882A0.842 where A is measured in square meters. Find S'(109). (Round your answer to five decimal places.) S'(109) = species/m2 Interpret your answer. O The rate of change of the number of tree species with respect to area is 45.45837 species/m². O The rate of change of the number of tree species with respect to area is -45.81226 species/m². O The rate of change of the number of tree species with respect to area is 0.35389 species/m². O The rate of change of the number of tree species with respect to area is 45.81226 species/m². O The rate of change of the number of tree species with respect to area is -0.35389 species/m².
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning