1,318 prompts matching "Solving a surd equation with terms on both sides"
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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
Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
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
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Find the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Give me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Find the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us