2,798 prompts matching "maxima and minima"
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Structured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Structured question: divide a cubic and state quotient and remainder
Give me a structured question where I divide a cubic polynomial by a linear factor using l
Express in the form command word: polynomial division
Set me a question phrased 'express f(x) in the form (x-a)Q(x)+R', where I perform polynomi
Show that command word: using the remainder to find an unknown coefficient
You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown
Prove command word: factor theorem
Give me a 'prove that (x-a) is a factor' question using the factor theorem, where I must s
Find all values command word: the values of k for which x minus 2 is a factor
Give me an exam question phrased 'find all values of k for which (x-2) is a factor', using
Structured question: find fg(x) and gf(x)
Give me a structured question with two given functions f and g, asking me to find fg(x) an
Structured question: find f^-1(x) and verify it
Set me a structured question where I find the inverse of a given function, then verify my
State the domain and range command word
Give me a function question phrased 'state the domain and range', for a function with a re
Show that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Structured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Structured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
Find the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Structured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Show that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Show that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear