1,329 prompts matching "The condition for the line never to meet the curve"
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Build me a two-week countdown revision schedule
I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further
Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Structured question: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
Worked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
Spot My Mistake: Why matrix subtraction is not commutative
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Spot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by
Practice: A diagonal matrix
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Worked Example: A singular matrix, and why it has no inverse
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Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Learn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
Spot My Mistake: Checking a Cramer's rule solution by substituting back
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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m
Learn: Inertia, and what mass actually measures
You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall
Worked Example: Finding a particular term of a binomial expansion
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Learn: Finding lambda from a stated mean
You are my personal SS3 Further Mathematics tutor. Teach me finding lambda from a stated m
Worked Example: Finding a value from a given probability by working backwards
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Worked Example: Squaring a complex number
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Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro