1,333 prompts matching "Teach me approximating powers using binomial expansion"
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Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Structured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Learn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Learn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Learn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Learn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic
Learn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
Learn: A space diagram and a force diagram drawn side by side
You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di
Learn: What an unclosed polygon of forces tells you
You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo
Learn: Finding two unknown forces by Lami's theorem
You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by
Learn: The expectation of a discrete random variable
You are my personal SS3 Further Mathematics tutor. Teach me the expectation of a discrete
Learn: The probability that a normal variable lies between two values
You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal
Learn: The unit vectors i, j and k
You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w
Learn: Subtracting one vector from another
You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an