[See Solution] Given x(t)=(e^t,ln t,t^2) , y(t)=(sin t,t,4) , find (d)/(dt)[ x(t)* y(t)
Question: Given
\[\begin{aligned} & x\left( t \right)=\left( {{e}^{t}},\ln t,{{t}^{2}} \right) \\ & y\left( t \right)=\left( \sin t,t,4 \right) \\ \end{aligned}\]find
\[\frac{d}{dt}\left[ x\left( t \right)\times y\left( t \right) \right]\]
Deliverable: Word Document 
![[See Solution] A vector field is defined](/images/solutions/MC-solution-library-45161.jpg "[See Solution] A vector field is defined by F(x)=(y+z,x+y,x+z)")
[See Solution] A vector field is defined by F(x)=(y+z,x+y,x+z)
(See Steps) (a) Parametrize the upper surface of the portion of
![[Solution Library] If x(t)=(t, sin 4t, cos](/images/solutions/MC-solution-library-45163.jpg "[Solution Library] If x(t)=(t, sin 4t, cos 4t), 0≤ t≤ π")
[Solution Library] If x(t)=(t, sin 4t, cos 4t), 0≤ t≤ π
(See Solution) Labeling the axes and intercepts, etc. make a neat
(Step-by-Step) Find the equation and sketch the closed portion of
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