1,044 prompts matching "Finding the angle between two vectors from their dot product"
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Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
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 composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Practice: Factorising a quadratic with a common factor taken out first
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Practice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
Quiz: Dividing a quartic by a quadratic
Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.
Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Quiz: Which values are worth testing as factors
Act as my SS2 Further Mathematics tutor and quiz me on which values are worth testing as f
Practice: Showing that x plus 3 is a factor of a given polynomial
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
Quiz: Factorising a polynomial by grouping terms
Act as my SS2 Further Mathematics tutor and quiz me on factorising a polynomial by groupin
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
Quiz: A cubic with three distinct real roots
Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro
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
Practice: Negation combined with a compound statement
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Quiz: Why a conditional with a false antecedent counts as true
Act as my SS2 Further Mathematics tutor and quiz me on why a conditional with a false ante
Practice: What logical equivalence means
Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e