(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the parametric equation for the line tangent to the curve:

x=t^3-1, y=t^4+1, z=t

at the point (26, 82, 3).

Use the variable t for your parameter.

2. Relevant equations

3. The attempt at a solution

dx/dt=3t^2, dy/dt=4t^3, dz/dt=1

I got then that

x=26+(3*26^2)t

y=82+(4*82^3)t

z=3+t

and only the z component is correct. Where am I going wrong. Any help is really appreciated!

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# Homework Help: Parametric equation for a tangent line (multi vars)

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