1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"
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Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2
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Teach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Sum and product of roots of a cubic equation
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Worked example: truth table for a compound statement
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Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Worked example: proving a statement is a tautology
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Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Worked example: probability of selecting a committee
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Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Quiz me on Reading a binomial coefficient off Pascal's triangle
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Give me practice on the binomial theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria
Spot my mistake in a binomial expansion
Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the
Worked example: rationalising a binomial surd denominator
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Worked example: finding where a line meets a circle
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Worked example: finding a term in an arithmetic progression
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Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom