1,315 prompts matching "Expanding a bracket with a coefficient on x"
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Worked Example: The acceleration of a body moving round a circle at constant speed
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Practice: A car rounding a bend on a level road
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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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Show All Working: A mass on a spring performing simple harmonic motion
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Common Mistakes: The energy of a body in simple harmonic motion
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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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Common Mistakes: A particle oscillating on the end of an elastic string
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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
Position vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
Position vectors and displacement between points #2
I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v
Worked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
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
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Solving f(x) = a given value
I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th