1,244 prompts matching "Quiz: Evaluating log to base 3 of 7 by change of base"
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Explain Back: Deciding whether a point lies inside, on or outside a circle
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Learn: The parabola y squared equals 4ax, with its focus and directrix
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Practice: The ellipse in standard form, and its two axes
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Common Mistakes: Identifying a conic from a general second-degree equation
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Practice: The mean deviation from the mean
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Worked Example: The sign convention for clockwise and anticlockwise moments
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Practice: A uniform beam resting on two supports
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Spot My Mistake: The point at which a loaded beam will tip about its support
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Worked Example: Relative velocity when two bodies move along the same line
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Worked Example: The normal reaction on a body resting on a smooth incline
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Practice: The frictional force on a body on a rough incline
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Common Mistakes: The work done against friction on an incline
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Practice: A car rounding a bend on a level road
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Explain Back: A car on a banked track
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Practice: The maximum speed and the maximum acceleration in simple harmonic motion
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Explain Back: The displacement written as x equals a sin omega t
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Worked Example: The tension in a stretched elastic string
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Practice: The difference between an elastic string and a spring in compression
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Spot My Mistake: A particle hanging in equilibrium on an elastic string
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