Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,329 prompts matching "Distance from a point to the centre of a circle"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Subscribe to unlock allScalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
Subscribe to unlock allExplain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allMulti-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Subscribe to unlock allVerify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Subscribe to unlock allExplain standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c
Subscribe to unlock allExplain when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Subscribe to unlock allSolve a friction and forces of equilibrium problem #2
I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict
Subscribe to unlock allSolve a friction and forces of equilibrium problem #3
I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri
Subscribe to unlock allVector addition, subtraction and magnitude #1
I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a
Subscribe to unlock allVector addition, subtraction and magnitude #2
I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +
Subscribe to unlock allScalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th
Subscribe to unlock allScalar (dot) and vector (cross) product practice #2
I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .
Subscribe to unlock allScalar (dot) and vector (cross) product practice #3
I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x
Subscribe to unlock allScalar (dot) and vector (cross) product practice #4
I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be
Subscribe to unlock allWAEC past-question practice: vectors #1
I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on vector add
Subscribe to unlock allWAEC past-question practice: vectors #4
I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m
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 allTeach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Subscribe to unlock allExplain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
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