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Maths A-level OCR MEI (B)

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Maths A-level OCR MEI (B)

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MATHS A-LEVEL OCR
MEI (B)
[Document subtitle]




[DATE]
[COMPANY NAME]
[Company address]

,Certainly! Here are the numbered questions based on the information you provided, along
with their respective answers:



1. **Quadratic Formula**

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

*Solution for solving quadratic equations.*



2. **Pythagorean Theorem**

\(a^2 + b^2 = c^2\)

*Relation between the sides of a right-angled triangle.*



3. **\((a^x)(a^y)\)**

\(a^{x + y}\)

*Product rule of exponents.*



4. **\(\frac{a^x}{a^y}\)**

\(a^{x - y}\)

*Quotient rule of exponents.*



5. **\((a^x)^y\)**

\(a^{xy}\)

*Power of a power rule.*



6. **\(x = a^n\)**

\(n = \log_a x\)

*Expressing exponential in logarithmic form.*



7. **\(\log_a x + \log_a y\)**

, \(\log_a xy\)

*Logarithm of a product.*



8. **\(\log_a x^k\)**

\(k \log_a x\)

*Power rule of logarithms.*



9. **Straight line formula**

\((y - y_1) = m(x - x_1)\)

*Point-slope form of a line.*



10. **Perpendicular gradients**

*Negative reciprocals of each other.*



11. **General term of AP**

\(U_n = a + (n - 1)d\)

*nth term of an arithmetic progression.*



12. **General term of GP**

\(U_n = ar^{n-1}\)

*nth term of a geometric progression.*



13. **Sine rule**

\(\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\)

*Relates sides and angles in any triangle.*



14. **Cosine rule**

\(a^2 = b^2 + c^2 - 2bc \cos A\)

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