1,023 prompts matching "Set problem leading to a linear equation"
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Give me common mistakes students make in trigonometric identities and equations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Explain why Further Maths topics connect to each other
Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like
Solve the logarithmic equation log2(x) + log2(x-2) = 3
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
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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 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
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
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
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Real-life application of the factor theorem
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Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Give me a 5-minute recap of quadratic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,