Did i take this derivative of the vector right?

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Check that domain section...
 
ahh should be r >0 right? is the derivative right too? thanks!
 
No. Look what happens to the i vector when you have t=3
 
oh f word...
can i say, t < 0?
 
Well, the thing is that it can go above 0... but how far?

Start looking at the equations and ask yourself where each one has a valid result. For example, the i component can be t=<2
 
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