1,325 prompts matching "The identity linking alpha squared plus beta squared to the sum and product"
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Explain-back: resultant versus resolution of forces
I am in SS 3. Let me explain the difference between finding a resultant force and resolvin
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Worked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
Worked 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
Worked 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
Worked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Quiz me: matrices, determinants and inverses mixed
I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d
Show all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
Show all working: complex numbers and quadratics combined
I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a
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
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Spot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Final Revision: Proving that root 2 is irrational
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Quiz: Forming a quadratic equation whose roots are given
Act as my SS3 Further Mathematics tutor and quiz me on forming a quadratic equation whose
Final Revision: Solving a disguised quadratic by substitution
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.