5. Find the polynomial P2(x) that approximate the function Ax)=sin(x) over the interval [0, 7/2]. Hint: Use the following five points i Yi 0. 0. 1 0.3927 0.3827 2 0.7854 0.7071 3 1.1781 0.9239 4 1.5708 1.0000

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Find the polynomial P2(x) that approximate the function f(x)=sin(x) over the
interval [0, 7/2]. Hint: Use the following five points
Yi
0.
0.
1
0.3927
0.3827
2
0.7854
0.7071
3
1.1781
0.9239
4
1.5708
1.0000
Transcribed Image Text:5. Find the polynomial P2(x) that approximate the function f(x)=sin(x) over the interval [0, 7/2]. Hint: Use the following five points Yi 0. 0. 1 0.3927 0.3827 2 0.7854 0.7071 3 1.1781 0.9239 4 1.5708 1.0000
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