# Domain of a Vector Function

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Find the domain of r(t) = <2e^(-t), sin^(-1) t, ln (1 - t) >; t(subscript 0) = 0

https://brainmass.com/math/vector-calculus/domain-vector-function-119206

#### Solution Preview

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For the function r(t) = <2e^(-t), sin^(-1) t, ln (1 - t) > to be defined, it is necessary that all the component functions are well defined. As we know that e^(-t) is defined for all real values ...

#### Solution Summary

The domain of a vector function is found.

$2.19