Find a Parametrization and find the length of the curve C in the three dimensional room.  x = y^(2/3)   ,  x = z^(2/3) ,  between the points (0,0,0) and (4,8,8).

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Chapter1: Functions And Models
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Task 8)

task is to use parameterized curves. 

a) Find a Parametrization and find the length of the curve C in the three dimensional room. 

x = y^(2/3)   ,  x = z^(2/3) ,  between the points (0,0,0) and (4,8,8).

b) find the area under the given curve C: 

x(t) = 3(t-sin t), y(t) = 3(1- cps t),

0<t<2*pi

 

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