Let f(x) = |x| be approximated by sy(x) = ªo+Σ (an cos (¹7²) + b₁ sin (¹7²)). Determine the coeffcients an, bn ER in sy(x) such that E := ||ƒ — SN||L²(−1,1) is minimal. n=1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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Let f(x) = |x| be approximated by sN(x) = }a0+ E (an COS (") + b, sin (7).
n=1
Determine the coeffcients an, b, E R in sN(x) such that E := || f – SN||12(-1,) is minimal.
Transcribed Image Text:Let f(x) = |x| be approximated by sN(x) = }a0+ E (an COS (") + b, sin (7). n=1 Determine the coeffcients an, b, E R in sN(x) such that E := || f – SN||12(-1,) is minimal.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,