1,045 prompts matching "Three forces in equilibrium written as vectors"
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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 AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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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: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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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: in how many ways can 6 people be seated around a circular table
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Worked example: expand (x+2)^5 fully using the binomial theorem
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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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of completing the square
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Real-life application of the remainder theorem
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Real-life application of combinations
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