Show that the curve with parametric equations x t cos t, y t sin t, z t lies on the cone z 2 x 2 y 2 , and use this fact to help sketch the curve

Question: Show that the curve with parametric equations x = t cos t, y = t sin t, z = t lies on the cone z

Show that the curve with parametric equations x = t cos t, y = t sin t, z = t lies on the cone z² = x² + y², and use this fact to help sketch the curve.

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