A tiny, not scary at all, bug lands on a piece of graph paper and walks...

 

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A tiny, not scary at all, bug lands on a piece of graph paper and walks along a path so that t minutes after it lands, it is at the point with coordinates x-4-t^3.y%35t2+1 Compute dx/dt, and explain using dx/dt how come we know the bug never retraces its steps as t increases from t= 0 minutes to t = 2 minutes. A tiny, not scary at all, bug lands on a piece of graph paper and walks along a path so that t minutes after it lands, it is at the point with coordinates x-4-t^3.y%35t2+1 Compute dx/dt, and explain using dx/dt how come we know the bug never retraces its steps as t increases from t= 0 minutes to t = 2 minutes.

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