Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →861 prompts matching "Explain why a complex number times its conjugate is real"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Subscribe to unlock allWorked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
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Subscribe to unlock allWorked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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Subscribe to unlock allWorked example: find the determinant of [[5,2],[3,4]]
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Subscribe to unlock allWorked example: find the inverse of [[2,1],[5,3]]
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Subscribe to unlock allWorked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
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Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
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Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Subscribe to unlock allWorked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Subscribe to unlock allStructured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
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