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Chapter 12: Q9-1P (page 562)

Expand the following functions in the Legendre series.
$F (x) = [\begin{matrix} - 1 & - 1 & \leq & x & 0 \\ 1 & 0 & \leq & x & 1 \end{matrix}]$

Short Answer

Expert verified

Step by step solution

Concept of Legendre polynomial

Simplify the expression

Substitute for the value of m and P0(x)

Substitute for the value of m and P1(x)

Substitute for the value of m and P2(x)

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Most popular questions from this chapter

Find the best (in the least squares sense) second-degree polynomial approximation to each of the given functions over the interval -1<x<1.

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Expand the following functions in the Legendre series.
$F (x) = [\begin{matrix} - 1 & - 1 & \leq & x & 0 \\ 1 & 0 & \leq & x & 1 \end{matrix}]$

Short Answer

Step by step solution

Concept of Legendre polynomial

Simplify the expression

Substitute for the value of m and P0(x)

Substitute for the value of m and P1(x)

Substitute for the value of m and P2(x)

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Most popular questions from this chapter

Recommended explanations on Physics Textbooks

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Expand the following functions in the Legendre series.F(x)=[-1-1≤x010≤x1]

Short Answer

Step by step solution

Concept of Legendre polynomial

Simplify the expression

Substitute for the value of m and P0(x)

Substitute for the value of m and P1(x)

Substitute for the value of m and P2(x)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Electricity

Dynamics

Geometrical and Physical Optics

Engineering Physics

Translational Dynamics

Study anywhere. Anytime. Across all devices.

Expand the following functions in the Legendre series.
$F (x) = [\begin{matrix} - 1 & - 1 & \leq & x & 0 \\ 1 & 0 & \leq & x & 1 \end{matrix}]$