1,042 prompts matching "Structured question: stationary point on a curve with an unknown constant"
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Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
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
Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Worked Example: The product of the roots as c over a
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the pr
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
Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
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
Show All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
Practice: Factorising a quartic as the product of two quadratics
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Show All Working: Reading the final column of a truth table
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on reading the fin
Show All Working: The distributive laws in logic
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the distributiv
Practice: Showing that a statement is a tautology
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that a
Practice: Modus tollens
Act as my SS2 Further Mathematics tutor. Give me five practice questions on modus tollens,
Worked Example: The number of ways n people sit round a round table
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the nu
Show All Working: The complement rule used in a counting problem
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the complement
Show All Working: The binomial coefficients written as n choose r
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the binomial co