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Senior Secondary

Further Mathematics

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1,045 prompts matching "Reporting an area computed below the x-axis as a negative distance travelled"

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Quiz me on the whole term's Further Maths topics

Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co

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)

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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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

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: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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