1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
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Worked Example: The interquartile range of a set of ordered data
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Learn: The moment of a force about a point, and its units
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Practice: A uniform beam resting on two supports
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Learn: The velocity of one body relative to another
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Worked Example: Relative velocity when two bodies move along the same line
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Practice: The triangle of velocities for a boat crossing a river
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Worked Example: The common acceleration of two connected particles
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Practice: A particle on a smooth table connected to a hanging particle
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Spot My Mistake: Two particles on a pulley at the top of an inclined plane
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Learn: Resolving the weight along and perpendicular to an inclined plane
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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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Learn: Angular velocity, and how it relates to linear speed
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Worked Example: The acceleration of a body moving round a circle at constant speed
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Worked Example: The amplitude, period and frequency of a simple harmonic motion
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Spot My Mistake: The time taken to move between two points in simple harmonic motion
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Worked Example: The tension in a stretched elastic string
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Spot my mistake: Assuming AB and BA give the same matrix
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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion
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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
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