1,042 prompts matching "Structured question: stationary point on a curve with an unknown constant"
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Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
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
Teach me rationalising the denominator
Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Quiz me on trigonometric identities
Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must
Spot my mistake solving a trigonometric equation
Act as my SS2 Further Maths tutor. I solved a trigonometric equation but I think I forgot
Explain trigonometric identities back to me
Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and
Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom
Teach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Teach me finding the determinant of a 2x2 matrix
Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an
Summarise quadratic equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho