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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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Year 11 key words:complex numbersdifferentiationlogicmatricesmaxima and minimapermutations and combinationspolynomialsprobabilityquadratic equationstrigonometric equationstrigonometric functionstrigonometric identities
+ 2 more key words
vectorswork, energy and power

1,043 prompts matching "Simplifying the denominator once the conjugate has been used"

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

PPJ-FMT-00697Similar prompts

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

PPJ-FMT-00698Similar prompts

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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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

PPJ-FMT-00699Similar prompts

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

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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

PPJ-FMT-00700Similar prompts

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

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

PPJ-FMT-00701Similar prompts

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

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

PPJ-FMT-00702Similar prompts

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

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

PPJ-FMT-00703Similar prompts

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

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

PPJ-FMT-00705Similar prompts

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

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

PPJ-FMT-00706Similar prompts

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

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

PPJ-FMT-00707Similar prompts

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

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Worked example: find the modulus and argument of 3+4i

PPJ-FMT-00717Similar prompts

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

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

PPJ-FMT-00718Similar prompts

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

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Worked example: find the determinant of [[5,2],[3,4]]

PPJ-FMT-00720Similar prompts

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

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Worked example: find the inverse of [[2,1],[5,3]]

PPJ-FMT-00721Similar prompts

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

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

PPJ-FMT-00722Similar prompts

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

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

PPJ-FMT-00732Similar prompts

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)

PPJ-FMT-00739Similar prompts

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

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

PPJ-FMT-00740Similar prompts

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

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

PPJ-FMT-00741Similar prompts

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

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

PPJ-FMT-00742Similar prompts

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

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