1,332 prompts matching "Practice: The condition for the line to be a tangent"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the inverse of a 2x2 matrix #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Quiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Teach me equilibrium of forces from scratch
I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never
Solve 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
Solve 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
Teach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Build my SS3 Further Maths WAEC revision timetable
I am in SS 3. Help me build a week-by-week revision timetable covering matrices, determina
Explain-back: resultant versus resolution of forces
I am in SS 3. Let me explain the difference between finding a resultant force and resolvin
Learn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written
Worked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Quiz: The complement of a set within a stated universal set
Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st
Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl
Final Revision: The power set, and how many subsets a set of n elements has
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Worked Example: Testing whether a binary operation is closed on a given set
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm