1,045 prompts matching "The forces on a body resting on a rough horizontal plane"
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Worked example: find the equation of the line through (2,3) and (5,9)
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IGCSE Additional Maths Y11: A tangent drawn through a point off the curve — Spot My Mistake
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on a t
Worked example: reading the solutions as points of intersection
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Worked example: solving an equation with logarithms to the same base
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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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: 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
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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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Practice: Working through a quadratic by completing the square, step by step
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Worked Example: The discriminant used as the test for intersection
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Worked Example: The degree of a polynomial in one variable
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Worked Example: The division algorithm for polynomials
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Worked Example: The remainder on dividing by x minus 3
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