1,045 prompts matching "Quiz: The product of a complex number and its conjugate"
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Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
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
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Explain logarithm laws back to me
Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
Explain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
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: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
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 finding stationary points
Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom
Spot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma