980 prompts matching "Explain-back: my understanding of Cramer's rule"
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Real-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Find sum and product of roots of 2x^2 - 5x + 3 = 0
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Find sum and product of roots of x^2 + 4x - 12 = 0
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Find sum and product of roots of 3x^2 + 7x - 6 = 0
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Find sum and product of roots of x^2 - 8x + 15 = 0
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Worked example: reading the solutions as points of intersection
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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,
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 basics of differentiation
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Teach me finding the determinant of a 2x2 matrix
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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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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)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the magnitude of the vector (3,4)
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