1,045 prompts matching "Showing that fg(x) is not the same as gf(x)"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the inverse of [[2,1],[5,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
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
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Give me a 5-minute recap of polynomial division
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of polynomial division,
Cambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 - 11x + 24
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 + 3x - 28
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise 2x^2 + 9x + 4
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x
Cambridge-style structured question: factorise 3x^2 - 11x + 6
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu