1,045 prompts matching "The vector from A to B as the difference of two position vectors"
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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
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
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
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
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 multiplying two complex numbers in modulus-argument form
Act as my SS2 Further Mathematics tutor. Work a question on multiplying two complex number
Spot my mistake dividing two complex numbers in modulus-argument form
Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i
Spot my mistake multiplying a two by two matrix by a two by one matrix
Act as my SS2 Further Mathematics tutor. Work a question on multiplying a two by two matri
Explain matrices back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
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
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
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) =