1,045 prompts matching "Solving an equation written in terms of a binary operation"
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Summarise polynomials and the remainder/factor theorems for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise permutations and combinations for quick revision
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Summarise logarithms and indices 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 permutations and combinations
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Test me under exam conditions on logarithms and indices
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Give me common mistakes students make in quadratic equations
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Give me common mistakes students make in measures of dispersion
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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: 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 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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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]]
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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