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For each of the following C curves parametrized by the path c indicated, find the tangent space TpC at the point p indicated: (a) c(t)

For each of the following C curves parametrized by the path c indicated, find the tangent space TpC at the point p indicated:

(a) c(t) = ( tcos(t), tsin(t)), p = c().

(b) c(t) =( e^t, (e^(2t))/2, (e^(3t))/3 ) at arbitrary point p= c(t).

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