1,008 prompts matching "Structured question: find fg(x) and gf(x)"
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Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf
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
Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Spot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Teach me what a matrix is
Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its
Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Teach me measures of dispersion for grouped data
Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio
Summarise quadratic equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise propositional logic for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise the binomial theorem for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise complex numbers for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise matrices for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise vectors for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise coordinate geometry for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise differentiation for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho