1,032 prompts matching "Solving an exponential equation by taking logarithms of both sides"
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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: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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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: expand (x+2)^5 fully using the binomial theorem
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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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 (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Real-life application of measures of dispersion
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur
Give me a 5-minute recap of completing the square
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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
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
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