Let y be the curve in Rº given in cylindrica coordinates by the equations as r(t)=i, ot=t and z(t) = 2ti Convert the curve to a parametrization in Cartesian coordinates and compute its length for 0≤t≤2πT.

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Let y be the curve in R³
given in cylindrical
coordinates by the equations as r(t) = 1₁ ot=t
and z(t) = 2t₁ Convert the curve to a
parametrization in Cartesian coordinates and
for 0≤t≤2TT.
its length
compute its
Transcribed Image Text:Let y be the curve in R³ given in cylindrical coordinates by the equations as r(t) = 1₁ ot=t and z(t) = 2t₁ Convert the curve to a parametrization in Cartesian coordinates and for 0≤t≤2TT. its length compute its
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