1,325 prompts matching "Learn: The definition of a logarithm as the index"
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WAEC Prep: Integrating a power of x
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Quiz: A rate of change problem about a vessel filling with water
Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve
Quiz: Choosing which equation of motion to use
Act as my SS3 Further Mathematics tutor and quiz me on choosing which equation of motion t
WAEC Prep: How many terms of an arithmetic progression lie between two values
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through how many terms of
WAEC Prep: An arithmetic progression whose terms are given in terms of n
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through an arithmetic prog
Scalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Multi-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
WAEC past-question practice: matrices #4
I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
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
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
WAEC past-question practice: inverse matrices #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a
WAEC past-question practice: inverse matrices #2
I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac
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
Show all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
WAEC past-question practice: coplanar forces #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the resultant of
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