1,045 prompts matching "A random variable, and the values it may take"
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Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Explain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Teach me finding the magnitude of a vector
Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py
Summarise polynomials and the remainder/factor theorems for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on permutations and combinations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on pe
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
Test me under exam conditions on sequences and series
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on se
Give me common mistakes students make in the binomial theorem
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem