898 prompts matching "Coordinate geometry applied to a triangle's area check"
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Summarise vectors 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 polynomials and the remainder/factor theorems
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Test me under exam conditions on vectors
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Give me common mistakes students make in polynomials and the remainder/factor theorems
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Give me common mistakes students make in vectors
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Quiz me on the whole term's Further Maths topics
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Explain why Further Maths topics connect to each other
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Create flashcard questions for Further Maths topics
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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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
Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of probability using combinatorics
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Real-life application of vectors
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where vector