OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y414/01: Numerical Methods)

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OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y414/01: Numerical Methods). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS...

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OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y414/01: Numerical Methods). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.

Â The table shows some spreadsheet output. The values displayed in cells K21 and K22 are exact,
but the values displayed in rows 21 and 22 in columns L, M and N have been found using
appropriate cell formulae.
ï¹ K L M N
20 x ex 10x e 10 x x -
21 0.000000001 1.000000001 1.000000002 1.30258E-09
22 1E-10 1 1 1.30258E-10
(a) (i) Write the value displayed in cell N21 in standard mathematical notation. [1]
The formula in cell N22 is = - L22 M22 .
Â (ii) Explain why the value displayed in cell N22 is not zero. [2]
(b) (i) Determine the absolute error when e0 1. is chopped to 3 decimal places. [2]
Â (ii) Without doing any further calculation, explain whether the absolute error found in part
(b)(i) will be the same as the absolute error when e 0 1. is chopped to 3 decimal places.
[1]
2 The table gives three values of x and the associated values of y.
x 3 5 8
y 9.26 19.3 37.96
Use Lagrangeâ€™s method to construct the interpolating polynomial of degree 2 for the values in the
table, giving your answer in the form
y ax bx c
2 = ,
where a, b and c are constants to be determined. [4]

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Author	OCR KING
Published	30 Jul 2024
Included files	PDF
Y414 Y414/01 OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 OCR AS LEVEL MATHEMATICS B PAPER 1 OCR MATHEMATICS PAPER 1 2023 MATHEMATICS B PAPER 1 OCR OCR MATHEMATICS 2023 OCR AS LEVEL MATHEMATICS PAPER 1 2023 MATHEMATICS