5. Suppose you want to model the length L(x) of an adult salamander, measured in cm, as a function of the ambient concentration of oxygen x, measure in mg/L, when it undergoes meta- morphosis. Direct measurement shows that ƒ(8) = 15, ƒ'(8) = 0.5, and ƒ"(8) = −2. Use the second-degree Taylor polynomial centered at 8 to predict the length that would result from a dissolved oxygen concentration of 7.5 mg/L.

5. Suppose you want to model the length L(x) of an adult salamander, measured in cm, as a function of the ambient concentration of oxygen x, measure in mg/L, when it undergoes meta- morphosis. Direct measurement shows that ƒ(8) = 15, ƒ'(8) = 0.5, and ƒ"(8) = −2. Use the second-degree Taylor polynomial centered at 8 to predict the length that would result from a dissolved oxygen concentration of 7.5 mg/L.

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...

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