1,045 prompts matching "Assuming AB and BA give the same matrix"
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Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Explain permutations and combinations back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Explain standard deviation back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what standard deviation me
Create a revision plan for polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Help me create a short revision plan for polynomials an
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Give me common mistakes students make in the binomial theorem
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome