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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"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked example: simplifying an expression with fractional indices

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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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Teach me the distance and midpoint formulas

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Worked example: finding a term in an arithmetic progression

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Worked example: finding the gradient of a curve at a point

Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly

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Worked example: finding and classifying a stationary point

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Worked example: plotting a complex number on an Argand diagram

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Teach me finding the determinant of a 2x2 matrix

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Worked example: solving simultaneous equations using matrices

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Summarise polynomials and the remainder/factor theorems for quick revision

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Test me under exam conditions on polynomials and the remainder/factor theorems

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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: differentiate y = (2x-1)(x+3) after expanding it first

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

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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