1,320 prompts matching "The binomial coefficients written as n choose r"
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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant
Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of
Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve
Spot my mistake: Treating any vector with small components as a unit vector
Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with
Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with
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
The vertical line test
I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
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
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Structured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
Structured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Structured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Structured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Timed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
Structured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and