Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,328 prompts matching "Practice: The value of alpha to the fourth plus beta to the fourth"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve a quadratic equation with complex roots #1
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c
Subscribe to unlock allSolve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Subscribe to unlock allSolve a quadratic equation with complex roots #3
I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0
Subscribe to unlock allTeach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Subscribe to unlock allExplain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
Subscribe to unlock allShow all working: complex number equation question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allFind and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Subscribe to unlock allFind and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Subscribe to unlock allFind and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Subscribe to unlock allShow all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Subscribe to unlock allExplain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Subscribe to unlock allProjectile motion problem #2
I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s
Subscribe to unlock allProjectile motion problem #3
I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60
Subscribe to unlock allSpot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
Subscribe to unlock allExplain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
Subscribe to unlock allExplain-back: normal distribution properties
I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor
Subscribe to unlock allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Subscribe to unlock allWorked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
Subscribe to unlock allSpot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su
Subscribe to unlock all