[Solution Library] Show that the curve with vector equation r=(2 cos ^2t, sin 2t,2 sin t) is the curve of intersection of the surfaces (x-1)^2+y^2=1 and
Question: Show that the curve with vector equation \(\vec{r}=\left( 2{{\cos }^{2}}t,\sin 2t,2\sin t \right)\) is the curve of intersection of the surfaces \({{\left( x-1 \right)}^{2}}+{{y}^{2}}=1\) and \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}=4\). Use this fact to sketch the curve.
Deliverable: Word Document 
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[Solution Library] Find the parametric equations of the tangent line to
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[Solution] Let u(t)=(-√t sin t,t,t^2/3) and v(t)=(-√t
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(Solution Library) To see the effect of changing the parameter b
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