Show that the curve with parametric equations x = t cos(t), y = t sin(t),...

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Calculus

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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 = x + y.suppose a curve is defined by the parametric equations x = t cos(t), y = t sin(t), z = t; then x=______x + y =_____and z^2=____ thus, x + y=(____) (cos(t)(cos (t) + sin(t)) = z, so the curve lies on the cone z = x + y.,

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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 = x + y.suppose a curve is defined by the parametric equations x = t cos(t), y = t sin(t), z = t; then x=______x + y =_____and z^2=____ thus, x + y=(____) (cos(t)(cos (t) + sin(t)) = z, so the curve lies on the cone z = x + y.,

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