1,045 prompts matching "The vector equation of a line through a point in a given direction"
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Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Solve x^2 + 5x + 6 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve x^2 - 7x + 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 2x^2 + 7x + 3 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve x^2 - 3x - 10 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 3x^2 - 5x - 2 = 0 by factorisation
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Solve x^2 - 6x + 9 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 2x^2 - 11x + 5 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve x^2 + x - 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Give me a Week 11 revision checklist
Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Worked Example: Sentences that are not propositions
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on senten
Worked Example: What a contradiction is
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on what a
Worked Example: Premises and conclusion
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on premis