Mathematics
Mathematics
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OCR 2023 GCE MATHEMATICS B MEI H640/03: PURE MATHEMATICS AND COMPREHENSION A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 66 páginas • 2024
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2 © OCR 2023 H640/03 Jun23 = e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, n Jn N n! where Cr = n Cr = K r O = r!^n -rh! L P ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...
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OCR 2023 GCE MATHEMATICS B MEI H640/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 66 páginas • 2024
- 7,59 €
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2 © OCR 2023 H640/02 Jun23 ^ h = e n+1 2 n 2 2 L P Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n n e N , n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f x 1 1, n e R 2! Differentiation...
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OCR 2023 GCE MATHEMATICS B MEI H640/01: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 62 páginas • 2024
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2 © OCR 2023 H640/01 Jun23 = r n r Kr O e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = J n N = L P n! r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...
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OCR 2023 GCE MATHEMATICS B MEI H630/02: PURE MATHEMATICS AND STATISTICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 57 páginas • 2024
- 7,59 €
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2 © OCR 2023 H630/02 Jun23 -1 2 2 2 L P 2! r! Formulae AS Level Mathematics B (MEI) (H630) Binomial series (a + b) n = a n + nC1 a n–1 b + nC2 a n–2 b 2 + ... + nCr a n–r b r + ... +bn n e N , n Jn N n! where Cr = n Cr = K r O = r!^n -rh! ^1 + xh n = 1 + nx + n^n - 1h x 2 + ... + n^n - 1h...^n -r + 1h x r + ... x 1 1, n e R Differentiation from first principles f l(x) = lim f^x + hh - f(x) h"0 h Sample variance 2 1 2 2 ^/x ih 2 2 2 s...
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OCR 2023 GCE MATHEMATICS B MEI H630/01: PURE MATHEMATICS AND MECHANICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 51 páginas • 2024
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2 © OCR 2023 H630/01 Jun23 -1 2 2 2 L P 2! r! Formulae AS Level Mathematics B (MEI) (H630) Binomial series (a + b) n = a n + nC1 a n–1 b + nC2 a n–2 b 2 + ... + nCr a n–r b r + ... +bn n e N , n Jn N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +...+ n^n - 1h...^n -r+1h x r +... x 1 1, n e R Differentiation from first principles f l(x) = lim f^x + hh -f(x) h"0 h Sample variance 2 1 2 2 ^/x ih 2 2 2 s = n Sxx w...
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OCR 2023 GCE MATHEMATICS A H240/03: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 75 páginas • 2024
- 8,07 €
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2 © OCR 2023 H240/03 Jun23 ^ h = n+1 2 n 2 2 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1, n e Rh Differentiation f x fl x...
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OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 63 páginas • 2024
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2 © OCR 2023 H240/02 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1,n e Rh Differentiati...
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OCR 2023 GCE MATHEMATICS A H240/01: PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 68 páginas • 2024
- 7,59 €
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2 © OCR 2023 H240/01 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^ x 1 1,n e Rh Differentiati...
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OCR 2023 GCE MATHEMATICS A H230/02: PURE MATHEMATICS AND MECHANICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 49 páginas • 2024
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2 © OCR 2023 H230/02 Jun23 x 2 2 Formulae AS Level Mathematics A (H230) Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n-rh! Differentiation from first principles fl^xh = lim f^x+hh-f^xh h "0 h Standard deviation / x 2 / fx2 = n -x 2 or = / f -x 2 The binomial distribution If X ~ B^n, ph then P^X = xh = c n mp x^1-ph n-x , mean of X is np, variance of X is np^1 ...
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OCR 2023 GCE MATHEMATICS A H230/01: PURE MATHEMATICS AND STATISTICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Examen • 50 páginas • 2024
- 8,07 €
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2 Formulae © OCR 2023 H230/01 Jun23 x 2 2 2 h"0 h AS Level Mathematics A (H230) Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n n e N , where nC = C = c n m = n! r n r r r!^n -rh! Differentiation from first principles fl^xh = lim f^x + hh-f^xh Standard deviation /x 2 / fx2 = n -x 2 or = / f -x 2 The binomial distribution If X + B n, p then P^X = xh = c n mp x^1 -ph n-x , mean of X is np, variance of X is n...
