1,238 prompts matching "a GP with first term 100 and common ratio 0.5, find the sum to infinity"
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Worked Example: The shape, period and range of the cosine curve
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Common Mistakes: The angle between two lines found from their gradients
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Show All Working: The intersection of a circle and a straight line
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Common Mistakes: The condition for a line to be a tangent to a circle
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Common Mistakes: Identifying a conic from a general second-degree equation
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Show All Working: The effect on the standard deviation of adding a constant to every value
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Common Mistakes: The coefficient of variation, for comparing two sets
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Worked Example: The sign convention for clockwise and anticlockwise moments
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Common Mistakes: The centre of gravity of a uniform lamina
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Common Mistakes: The relative displacement of two bodies after a given time
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Show All Working: A lift, and the person standing in it
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Common Mistakes: What becomes of the tension when the string goes slack
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Explain Back: The angle of friction, and the coefficient of friction
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Common Mistakes: The work done against friction on an incline
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Worked Example: The acceleration of a body moving round a circle at constant speed
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Show All Working: A body in a vertical circle, and the tension at the top
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Common Mistakes: The condition for a body to complete a vertical circle
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Worked Example: The amplitude, period and frequency of a simple harmonic motion
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Common Mistakes: The energy of a body in simple harmonic motion
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