Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780134679884
Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson
Publisher: PEARSON
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Chapter B, Problem 22ES
c Solve using Cramer’s rule.
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Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1].
See the figure for a plot of f(t).
Your goal is to approximate f(t) with an inter-
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Σk=0 Pd,k bd,k(t) so that
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with basis functions bd,k(t) = Σi±0 Cd,k,i
=
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The special case of d 0 is trivial: the only
basis function b0,0 (t) is constant 1 and so(t) is
thus constant po,0 for all t = [−1, 1].
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The d+1 basis functions bd,k (t) form a ba-
sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the
function space of all possible sα (t) functions.
Clearly, you wish to find out, which of them
given a particular maximal degree d is the
best-possible approximation of f(t) in the least-
squares sense.
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Chapter B Solutions
Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
Ch. B - Evaluate. [3241]Ch. B - Evaluate.
2.
Ch. B - Evaluate.
3.
Ch. B - Evaluate.
4.
Ch. B - 5. Solve using Cramer’s rule:
Ch. B - 6. Solve using Cramer’s rule:
Ch. B - a Evaluate. [3728]Ch. B - a Evaluate. [5445]Ch. B - a Evaluate.
3.
Ch. B - a Evaluate. [4579]
Ch. B - a Evaluate.
5.
Ch. B - a Evaluate.
6.
Ch. B - a Evaluate.
7.
Ch. B - a Evaluate.
8.
Ch. B - b Evaluate.
9.
Ch. B - b Evaluate. [302512201]Ch. B - b Evaluate. [123342012]Ch. B - b Evaluate. [122210331]Ch. B - b Evaluate. [322214433]Ch. B - b Evaluate.
14.
Ch. B - b Evaluate.
15.
Ch. B - b Evaluate. [1652445310]Ch. B - c Solve using Cramers rule. x4y=6,5x+9y=10Ch. B - c Solve using Cramer’s rule.
18.
Ch. B - c Solve using Cramer’s rule.
19.
Ch. B - c Solve using Cramers rule. 5x4y=3,7x+2y=6Ch. B - c Solve using Cramers rule. 4x+2y=11,3xy=2Ch. B - c Solve using Cramers rule. 3x3y=11,9x2y=5Ch. B - c Solve using Cramers rule. x+4y=8,3x+5y=3Ch. B - c Solve using Cramers rule. x+4y=5,3x+2y=13Ch. B - c Solve using Cramers rule....Ch. B - c Solve using Cramers rule....Ch. B - c Solve using Cramers rule....Ch. B - c Solve using Cramers rule. 3c=6,b+2c=2,7a3b5c=14Ch. B - c Solve using Cramer’s rule.
29.
Ch. B - c Solve using Cramers rule....Ch. B - c Solve using Cramers rule....Ch. B - c Solve using Cramers rule....
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