1,045 prompts matching "Adding the magnitudes of concurrent forces to get the magnitude of their resulta"
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Worked example: finding the angle between two vectors
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Summarise polynomials and the remainder/factor theorems for quick revision
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Test me under exam conditions on polynomials and the remainder/factor theorems
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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: find the gradient of y = x^3 - 4x at the point where x = 2
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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 line through (2,3) and (5,9)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the modulus and argument of 3+4i
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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: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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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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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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