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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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