3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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3. We learned in class that for a given A, the f(r) that minimizes the cost function
i=1
is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the
penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.
Transcribed Image Text:3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.
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