1,334 prompts matching "An indicial equation with the unknown in the exponent on both sides"
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Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Show that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Timed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
Explain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
Structured question: choosing a committee with a condition
I am in SS 3. Set me a structured combinations question where a committee must be chosen f
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
WAEC exam question: full binomial expansion to a stated power
I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f
Show that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Show that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Give me a past-paper style question bank for the quadratic formula
I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,
Give me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Give me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Give me a past-paper style question bank for the factor theorem
I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f
Give me a past-paper style question bank for indices
I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe
Give me a past-paper style question bank for coordinate geometry
I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina
Give me a past-paper style question bank for permutations and combinations
I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Worked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi