1,299 prompts matching "Checking an indicial solution by substitution"
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Give me a past-paper style question bank for differentiation basics
I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar
Spot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
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: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Worked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
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
Worked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Compare WAEC and Cambridge phrasing for the same topic
I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question
Structured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Structured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: circle with a diameter given by two endpoints
I am in SS 3. Give me a structured coordinate geometry question where two points are the e
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Structured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
WAEC exam question: sequences applied to loan repayment
I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e
Non-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
Give me a mixed revision pack blending logic and combinatorics
I am in SS 3. Give me a short mixed revision pack with one propositional logic question an
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Explain Back: Subtracting two 3 by 3 matrices
I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L