950 prompts matching "Series exam question with show all working"
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Test me under exam conditions on differentiation
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on di
Test me under exam conditions on logarithms and indices
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on lo
Test me under exam conditions on surds
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su
Test me under exam conditions on measures of dispersion
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on me
Give me common mistakes students make in sequences and series
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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 tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
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: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem