1,018 prompts matching "When Lami's theorem may be used, and when it may not"
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Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =
Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: how many ways can 5 books be arranged on a shelf
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: in how many ways can 6 people be seated around a circular table
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Give me a 5-minute recap of indices and surds
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co
Give me a 5-minute recap of sequences and series
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,
Give me a 5-minute recap of complex numbers
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of complex numbers, cove
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Find the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq