1,045 prompts matching "Universal set and its role in set problems"
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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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: find the determinant of [[5,2],[3,4]]
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Worked example: find the inverse of [[2,1],[5,3]]
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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 term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Give me a 5-minute recap of quadratic equations
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Give me a 5-minute recap of completing the square
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square
Give me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula
Give me a 5-minute recap of polynomial division
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Give me a 5-minute recap of the remainder theorem
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Give me a 5-minute recap of the factor theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c
Give me a 5-minute recap of cubic equations
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Give me a 5-minute recap of truth tables
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of truth tables, coverin
Give me a 5-minute recap of biconditional statements
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of biconditional stateme