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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 z = x + y. Suppose a curve is defined by the parametric equations x = t cos(t), y = t sin(t), z = t; then x2 + == -(D ) (cos (t) = + sin(t)) z2, so the curve lies on the cone z = x + y. = == , y and z. . Thus,
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