If z =t cost, y =tsint, z=t, then x² + y² = t² cos²t+t² sin² t = t² = z², so the curve lies on the cone z² = x² + y². Since z = t, the curve is a spiral on this cone.

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#27 3D. PLEASE COME THROUGH!

27. If æ = t cos t, y = t sin t, z = t, then æ² + y² = t² cos² t+t² sin² t = t² = z²,
so the curve lies on the cone z² = x² + y°. Since z =t, the curve is a spiral on
%3D
this cone.
Transcribed Image Text:27. If æ = t cos t, y = t sin t, z = t, then æ² + y² = t² cos² t+t² sin² t = t² = z², so the curve lies on the cone z² = x² + y°. Since z =t, the curve is a spiral on %3D this cone.
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