1,320 prompts matching "Explaining why a^1/n means the nth root of a"
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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors
Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product
Spot my mistake: Applying the power rule to the integral of one over x
Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t
Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration
Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant
Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t
Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other
Act as my SS3 Further Mathematics tutor. Write a short answer on reading a strong correlat
Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Find the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Find the inverse of a 2x2 matrix #3
I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi
Find the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
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
Find the resultant of several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
Find the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Graphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Explaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
Structured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
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: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
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
Worked Example: Taking a common factor out of a matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on taking
Worked Example: A singular matrix, and why it has no inverse
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing