1,045 prompts matching "The decimal expansion of an irrational number, and why it never repeats"
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Teach me dividing complex numbers by rationalising with the conjugate
You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi
Teach me adding and subtracting matrices
Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Teach me mean, variance and standard deviation
Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa
Spot my mistake calculating standard deviation
Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I
Summarise permutations and combinations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise trigonometric identities and equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise sequences and series for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise logarithms and indices 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 permutations and combinations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on pe
Test me under exam conditions on trigonometric identities and equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr
Test me under exam conditions on sequences and series
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on se
Test me under exam conditions on logarithms and indices
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on lo
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem: