1,045 prompts matching "Finding the centre and radius from a circle's equation"
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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
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
Give me common mistakes students make in quadratic equations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in permutations and combinations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
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
Give me common mistakes students make in logarithms and indices
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me memory tricks for Further Maths formulas
Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
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: 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
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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 a+b where a=(2,-1) and b=(-3,5)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem: