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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1"

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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Learn: The parabola y squared equals 4ax, with its focus and directrix

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Practice: The ellipse in standard form, and its two axes

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Show All Working: The rectangular hyperbola xy equals c squared

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Quiz: The semi-interquartile range

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Quiz: The tension in the string joining two connected particles

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Practice: A particle on a smooth table connected to a hanging particle

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Explain Back: A particle on a rough table connected to a hanging particle

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Show All Working: A lift, and the person standing in it

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Worked Example: The normal reaction on a body resting on a smooth incline

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Practice: The frictional force on a body on a rough incline

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Common Mistakes: The work done against friction on an incline

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Explain Back: The displacement written as x equals a sin omega t

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Worked Example: The tension in a stretched elastic string

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Practice: The difference between an elastic string and a spring in compression

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Show All Working: The work done in stretching an elastic string

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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