1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"
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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
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
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
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt
Learn: What makes a sentence a proposition
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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
Show All Working: Why a conditional and its converse are not equivalent
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition
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
Give me practice solving quadratic equations
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa
WAEC exam question on quadratic equations
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Build a quadratic equation from given roots
Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a
Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati