Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,315 prompts matching "expanding (2x-3)^5 using the binomial formula"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach 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 equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allDifferentiation practice question #1
I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let
Subscribe to unlock allDifferentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Subscribe to unlock allDifferentiation practice question #5
I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L
Subscribe to unlock allIntegration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
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 #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 allWAEC past-question practice: calculus #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th
Subscribe to unlock allKinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Subscribe to unlock allKinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Subscribe to unlock allKinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
Subscribe to unlock allKinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Subscribe to unlock allKinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Subscribe to unlock allExplain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Subscribe to unlock allExplain-back: my understanding of Cramer's rule
I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the
Subscribe to unlock allWorked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Subscribe to unlock allWorked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
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 allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
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