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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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A fly is crawling along a wire helix so that its position vector is **(t) = 6 cos πti + 6 sin πt] + 2tk, t≥ 0. At what point will the fly hit the sphere x² + y² + z² = 100, and how far did it travel in getting there assuming that it started when t = 0? Use 3D Calc Plotter to graph the helix and the sphere (make the sphere transparent) and plot the point of intersection. Print out your graph to turn in.

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