1,303 prompts matching "Why brackets matter when an operation is not associative"
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Explain-back: the chain rule in calculus
I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Worked Example: The intersection of two overlapping sets
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Practice: The difference of two sets, A minus B
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Worked Example: Collecting like surds in a single sum
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Practice: The condition for a quadratic equation to have equal roots
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Worked Example: Finding one over alpha plus one over beta
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Worked Example: Evaluating a polynomial by substitution
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Practice: Choosing a committee that must contain one particular person
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Practice: The effect of a in y equals a sin x
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Worked Example: The midpoint formula applied to a given segment
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Practice: The equation of a line through a point with a given gradient
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Practice: The equation of a circle on a given diameter
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Worked Example: The parametric form of a point on a parabola
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Practice: A uniform beam resting on two supports
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a uniform beam
Worked Example: The common acceleration of two connected particles
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Worked Example: The normal reaction on a body resting on a smooth incline
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