A clamped cubic spline S for a function f is defined by 2x + x2-2x3 S(x) = { la + b(x - 4) + c(x - 4)2 + d(x - 4)3 4 x 8 Find a, b, c, d iff'(0) = f'(8). O a = 6, b = -2, c = -5, d 2. O a =16, b = 22, c = 11, d = -2. O a = -104, b = -86, c = -23, d = 17/3. O a = 1, b = -2, c = -5, d =14/3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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A clamped cubic spline S for a function f is defined by
2x + x2-2x3
S(x) = }
la+ b(x - 4) + c(x-4)2 + d(x- 4)3
4 xS8
Find a, b, c, d if f'(0) = f'(8).
O a = 6, b = -2, c = -5, d = 2.
O a =16, b = 22, c = 11, d = -2.
a = -104, b = -86, c = -23, d = 17/3.
O a = 1, b = -2, c = -5, d =14/3.
Transcribed Image Text:A clamped cubic spline S for a function f is defined by 2x + x2-2x3 S(x) = } la+ b(x - 4) + c(x-4)2 + d(x- 4)3 4 xS8 Find a, b, c, d if f'(0) = f'(8). O a = 6, b = -2, c = -5, d = 2. O a =16, b = 22, c = 11, d = -2. a = -104, b = -86, c = -23, d = 17/3. O a = 1, b = -2, c = -5, d =14/3.
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