The following data define the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: T°C 0 8 16 24 32 40 o,mg/L 14.621 11.843 9.870 8.418 7.305 6.413 Estimate o(27) using (a) Newton's interpolating polynomial, and (b) cubic splines. Note that the exact result is 7.986 mg/L.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
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Please answer number 3 with step by step solution. Please answer immediately.
3. The following data define the sea-level concentration of dissolved oxygen for fresh
water as a function of temperature:
T°C
O
8
16
24
32
40
o,mg/L 14.621 11.843 9.870 8.418 7.305 6.413
Estimate o(27) using (a) Newton's interpolating polynomial, and (b) cubic splines.
Note that the exact result is 7.986 mg/L.
Transcribed Image Text:3. The following data define the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: T°C O 8 16 24 32 40 o,mg/L 14.621 11.843 9.870 8.418 7.305 6.413 Estimate o(27) using (a) Newton's interpolating polynomial, and (b) cubic splines. Note that the exact result is 7.986 mg/L.
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