M9usinhancyashkarla M9usinhancyashkarla

21-11-2016
Mathematics

contestada

Find parametric equations for the tangent line at the point (cos(3pi/6),sin(3pi/6), (3pi/6))
on the curve x=cost, y= sint, z=t
x(t)=?
y(t)=?
z(t)=?

Respuesta :

alsteva alsteva

22-11-2016

[tex]r(t)=(\cos{t},\sin{t},t) \\r'(t)=(-\sin{t},\cos{t},1) \\t= \frac{3\pi}{6} = \frac{\pi}{2} \\ r'(t)=(-\sin{\frac{\pi}{2}},\cos{\frac{\pi}{2}},1) \\ r'(t)=(-1,0,1) \\ \\x=0+t(-1)=-t \\y=1+t\times 0=1 \\z= \frac{\pi}{2} +t[/tex]

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