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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,300 prompts matching "Index laws with an unknown letter base"

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: The triangle law of vector addition

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Practice: The dot product as the magnitudes times the cosine of the angle

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Explain Back: The resultant of forces given as vectors

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Worked Example: The powers of i, and the cycle they follow

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Practice: The sum of a complex number and its conjugate

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Practice: The argument of a complex number in the second or third quadrant

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Practice: The addition of complex numbers shown on an Argand diagram

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Explain Back: The locus of a complex number at a fixed distance from a point

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Explain Back: Forming a quadratic equation with given complex roots

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Practice: Differentiating sin x and cos x

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Explain Back: Differentiating tan x

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Explain Back: The constant of integration, and why it appears

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Worked Example: The area between a curve and the x-axis

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Practice: The sign convention for displacement, velocity and acceleration

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Practice: The range of a projectile on level ground

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Worked Example: Finding the first term and the common difference from two given terms

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Explain Back: Partial fractions with a repeated linear factor

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Practice: The rank correlation coefficient

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Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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