1,044 prompts matching "Learn: Choosing the point about which to take moments"
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Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Worked example: solving an equation with logarithms to the same base
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Spot my mistake checking a logarithmic solution against the domain
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Teach me the distance and midpoint formulas
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Worked example: finding the gradient of a curve at a point
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Quiz me on the whole term's Further Maths topics
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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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 distance between the points (1,2) and (4,6)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Real-life application of the factor theorem
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Real-life application of the condition for a line to be tangent to a curve
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Practice: Factorising a quadratic with a common factor taken out first
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Common Mistakes: Writing down the roots once the brackets are found
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Common Mistakes: Roots that are reciprocals of one another
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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