1,043 prompts matching "Why one component vanishes when the direction is chosen well"
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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
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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: 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: 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)
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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 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 a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Real-life application of quadratic equations
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Real-life application of polynomials
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Real-life application of cubic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where cubic
Real-life application of propositional logic
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Real-life application of truth tables
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Real-life application of permutations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where permut
Real-life application of combinations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where combin