1,303 prompts matching "Why brackets matter when an operation is not associative"
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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/
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Worked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Structured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Structured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
Quiz me on choosing the correct method for a quadratic
I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Learn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Learn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
Learn: Choosing the point about which to take moments
You are my personal SS3 Further Mathematics tutor. Teach me choosing the point about which
Learn: Finding two unknown forces by Lami's theorem
You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by
Learn: The probability that a normal variable lies between two values
You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal
Learn: The coordinates of a point in three dimensions
You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in
Learn: The magnitude of a three-dimensional vector
You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Learn: Differentiating sin of a multiple of x
You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi
Learn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term