1,045 prompts matching "The equilibrium condition written in vector form"
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of combinations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where combin
Real-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Real-life application of indices
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where indice
Real-life application of coordinate geometry
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where coordi
Real-life application of the factor theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the fa
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as