Stats Solutions

Solution: Let u(t)=(-√t sin t,t,t^2/3) and v(t)=(-√t sin t, cos ^2t,-t^1/3), compute (d)/(dt)< u(t),v(t) > and (d)/(dt)< u(t),u(t)

Question: Let \(\vec{u}\left( t \right)=\left( -\sqrt{t}\sin t,t,{{t}^{2/3}} \right)\) and \(\vec{v}\left( t \right)=\left( -\sqrt{t}\sin t,{{\cos }^{2}}t,-{{t}^{1/3}} \right)\), compute

\[\frac{d}{dt}\left\langle \vec{u}\left( t \right),\vec{v}\left( t \right) \right\rangle \]

and

\[\frac{d}{dt}\left\langle \vec{u}\left( t \right),\vec{u}\left( t \right) \right\rangle \]

Price: $2.99
Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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