476 prompts matching "Comparing two values from different normal distributions by z-score"
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Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Factorise x^2 + 5x + 6
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 - 7x + 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 + 2x - 15
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 2x^2 + 7x + 3
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^
Factorise 3x^2 - 5x - 2
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^
Factorise 6x^2 + x - 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^
Factorise x^2 - 9
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 4x^2 - 25
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^
Factorise x^2 - x - 20
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 2x^2 - 11x + 5
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Worked example: proving a trigonometric identity
Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta