1,301 prompts matching "An arithmetic progression with a negative common difference"
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Explain Back: A particle on a rough table connected to a hanging particle
I have just studied a particle on a rough table connected to a hanging particle in my SS3
Show All Working: A lift, and the person standing in it
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Common Mistakes: What becomes of the tension when the string goes slack
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Explain Back: The angle of friction, and the coefficient of friction
I have just studied the angle of friction, and the coefficient of friction in my SS3 Furth
Show All Working: The angle at which a body just begins to slide
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Worked Example: The acceleration of a body moving round a circle at constant speed
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Explain Back: A car on a banked track
I have just studied a car on a banked track in my SS3 Further Mathematics class. Let me ex
Show All Working: A body in a vertical circle, and the tension at the top
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Common Mistakes: The condition for a body to complete a vertical circle
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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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Common Mistakes: The energy of a body in simple harmonic motion
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Show All Working: The work done in stretching 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/
Domain of a function involving a square root
I am in SS 3. Teach me finding the domain of a function involving a square root, such as f
Simplifying algebraic fractions that need factorising a quadratic first
I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Self-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct