1,045 prompts matching "Structured question: stating the domain of the inverse of a fractional function"
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Quiz me on the sum and product of the roots of a cubic
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
WAEC question on the factor theorem
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Quiz me on the inclusive sense of 'or' in a disjunction
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Worked example: finding the middle term of a binomial expansion
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WAEC question on the binomial theorem
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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 straight line
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Teach me the equation of a circle
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Teach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Worked example: finding the gradient of a curve at a point
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Teach me finding the magnitude of a vector
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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
Create flashcard questions for Further Maths topics
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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
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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