Finding t for Parametric Equations

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The discussion focuses on evaluating the line integral \(\int x^5*z*ds\) along the line segment defined by the parametric equations \(x = 4t\), \(y = 3 + 2t\), and \(z = 5 + 2t\). The user initially struggles to determine the parameter \(t\) for the starting point \((0, 3, 5)\) but ultimately resolves the issue with assistance from other forum members. The key takeaway is the importance of substituting the coordinates into the parametric equations to find the corresponding value of \(t\).

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Evaluate the line integral \int x^5*z*ds where C is the line segment from (0,3,5) to (4,5,7)

so first thing i did was found the parametric equations
the parametric equations are:
x= 4t
y= 3+2t
z= 5+2t

how do i find out what t is? i totally forgot how to do that and i can't seem to find it in the book because it's so easy they don't bother to explain it. i can solve the problem if i know what t is, so help me if you can. thanks in advance
 
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Surely you can figure out what t is when, say, (x, y, z) = (0, 3, 5)?
 
lol ah thanks a lot, i got it
 

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