1,045 prompts matching "Universal set and its role in set problems"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Worked Example: The product of the roots as c over a
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Learn: What makes an expression a polynomial
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Practice: Polynomial notation such as P of x
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Worked Example: The division algorithm for polynomials
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Learn: The statement of the factor theorem
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Spot My Mistake: The factor theorem applied to a quartic
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Worked Example: How many roots a cubic equation has
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Learn: What makes a sentence a proposition
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Worked Example: Sentences that are not propositions
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Quiz: The truth value of a simple proposition
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