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  3. for the parametrized path r(t)= e^tcos(?t)i+e^tsin

FOR THE PARAMETRIZED PATH r(t)= e^tcos(?t)i+e^tsin(?t)j+e^tk a) find the velocity vector, the unit tangent vector and the arc...

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Advance Math

FOR THE PARAMETRIZED PATH r(t)=e^tcos(?t)i+e^tsin(?t)j+e^tk

a) find the velocity vector, the unittangent vector and the arc lenght between t=0 and t=1

b) find a point where the path given by r(t)intersects the plane x-y=0 and determine the angle of intersectionbetween the tangent vector to the curve and the normal vector tothe plane.

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