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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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