1,045 prompts matching "The statement of de Moivre's theorem"
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Quiz me on the binomial expansion of a bracket raised to the power four
Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex
Explain the binomial theorem back to me
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WAEC question on the binomial theorem
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Teach me rationalising the denominator
Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a
Teach me the laws of logarithms
Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Teach me the equation of a circle
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Teach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Teach me the finding the modulus of a complex number
You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number
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
Test me under exam conditions on measures of dispersion
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on me
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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