1,045 prompts matching "Power as the rate of doing work"
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Worked example: simplifying an expression with fractional indices
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Worked example: rationalising a binomial surd denominator
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Spot my mistake checking a logarithmic solution against the domain
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Worked example: finding where a line meets a circle
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Worked example: proving a trigonometric identity
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Worked example: solving a quadratic trigonometric equation
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Worked example: finding a term in an arithmetic progression
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Quiz me on basic differentiation
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Worked example: solving a quadratic with complex roots
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Worked example: plotting a complex number on an Argand diagram
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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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Summarise the binomial theorem for quick revision
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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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: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Show All Working: A quadratic whose two roots are both negative
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Spot My Mistake: Completing the square when the roots are not real
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