Where Does the Tangent Line to the Curve $\mathbf { r } ( t ) = \left\langle e ^ { - 2 t } , \cos t , 3 \sin t \right\rangle$

question 16

Short Answer

Where does the tangent line to the curve $\mathbf { r } ( t ) = \left\langle e ^ { - 2 t } , \cos t , 3 \sin t \right\rangle$ at (1,1,0) intersect the yz-plane?

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Definitions:

Logic

The study of reasoning and argumentation, focused on understanding the principles and criteria of valid inference and demonstration.

Premises

Statements or propositions that are assumed to be true and from which a conclusion is drawn in an argument.

Conclusion

The end result or outcome of an argument or a process.

Explanation

A statement or account that makes something clear by describing the causes, context, or details behind a situation or phenomenon.