1,045 prompts matching "The law for the logarithm of a quotient"
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
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: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
Learn: Solving a cubic once it has been factorised
You are my personal SS2 Further Mathematics tutor. Teach me solving a cubic once it has be
Learn: What makes a sentence a proposition
You are my personal SS2 Further Mathematics tutor. Teach me what makes a sentence a propos
Learn: How many rows a truth table needs
You are my personal SS2 Further Mathematics tutor. Teach me how many rows a truth table ne
Learn: What a tautology is
You are my personal SS2 Further Mathematics tutor. Teach me what a tautology is from the b
Learn: What makes an argument valid
You are my personal SS2 Further Mathematics tutor. Teach me what makes an argument valid f
Learn: Arranging five different books on a shelf
You are my personal SS2 Further Mathematics tutor. Teach me arranging five different books
Learn: What makes a permutation cyclic
You are my personal SS2 Further Mathematics tutor. Teach me what makes a permutation cycli
Learn: Probability as favourable outcomes over total outcomes
You are my personal SS2 Further Mathematics tutor. Teach me probability as favourable outc
Learn: Building Pascal's triangle row by row
You are my personal SS2 Further Mathematics tutor. Teach me building Pascal's triangle row
Quiz me on factorising quadratic expressions
Act as my SS2 Further Maths tutor. Quiz me with five quadratic expressions to factorise by
Explain factorising quadratics back to me
Act as my SS2 Further Maths tutor. I want to check my understanding of factorising quadrat