Multivariable CalculusParametrization of equations.

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Homework Statement



I'm Having a hard time grasping what seems to be a simple topic-the parametrization and vector representation of curves...As a result it's making finding unit Tangent vectors and the length of Curves a nightmare :(

Please does anyone have any good resources they would recommend I use?
Or could someone dumb down this topic for me?

Any help will be really appreciated..

Homework Equations





The Attempt at a Solution



I don't seem to be having problems with linear equations,but square roots,squares and other powers make me go blank..

I've attended classes,tried to read my textbook and checked for videos on you tube.
 
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You could also try the videos from OpenCourseWare of MIT. They have videos on Multivariable Calculus.

http://ocw.mit.edu/courses/#mathematics
 
thanks!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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