1,045 prompts matching "The work done in stretching an elastic string"
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Worked example: simplifying an expression with fractional indices
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Teach me changing the base of a logarithm
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Teach me the distance and midpoint formulas
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Worked example: finding a term in an arithmetic progression
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Worked example: finding the gradient of a curve at a point
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Worked example: finding and classifying a stationary point
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Worked example: plotting a complex number on an Argand diagram
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Teach me finding the determinant of a 2x2 matrix
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Worked example: solving simultaneous equations using matrices
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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: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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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 A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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