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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,331 prompts matching "An element with no inverse under a given operation"

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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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Worked Example: The interquartile range of a set of ordered data

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Practice: The mean deviation from the mean

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Show All Working: Replacing two parallel forces by a single resultant

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Practice: The triangle of velocities for a boat crossing a river

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Practice: A particle on a smooth 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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Show All Working: The angle at which a body just begins to slide

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Common Mistakes: The work done against friction on an incline

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Show All Working: A body in a vertical circle, and the tension at the top

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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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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Common Mistakes: A particle oscillating on the end of an elastic string

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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