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What do you think? Where's the mistake and why do you think they presented it this way?

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Let's change this slightly from Michael's original question ...

With a spinner pointer starting at 0 degrees (positive x-axis), rotate by every INTEGER angle between 0° and 360°. Where do you end up?
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Set out to find the derivative of a semi-circle. I am intrigued but sort of confused. Are these the same thing?