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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The work done in stretching an elastic string"

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Worked example: in how many ways can 6 people be seated around a circular table

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Practice: Working through a quadratic by completing the square, step by step

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Show All Working: Completing the square with a fractional coefficient of x

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Final Revision: Why completing the square always works

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Spot My Mistake: What the formula gives when the discriminant is nought

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Practice: The condition for the line to be a tangent

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Show All Working: The point of contact when a line touches a curve

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Worked Example: The degree of a polynomial in one variable

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Show All Working: Adding and subtracting two polynomials

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Show All Working: Synthetic division as a shorter route

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Worked Example: The remainder on dividing by x minus 3

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Show All Working: A remainder of nought, and what it means

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Worked Example: Testing a list of candidates to find a factor

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Show All Working: What the factor theorem says about the roots

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