Find the Point of Intersection of the Tangent Lines to the Curve

question 49

Short Answer

Find the point of intersection of the tangent lines to the curve $\mathbf { r } ( t ) = \langle \sin \pi t , 7 \sin \pi t , \cos \pi t \rangle$ , at the points where $t = 0$ and $t = 0.5$ .

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Definitions:

Arson

The willful and malicious burning of a building (and, in some states, personal property) owned by another. Arson statutes have been extended to cover the destruction of any building, regardless of ownership, by fire or explosion.

Convicted

The act of being declared guilty of a crime by the verdict of a jury or the decision of a judge in a court of law.

Felony

A crime—such as arson, murder, assault, or robbery—that carries the most severe sanctions. Sanctions range from one year in a state or federal prison to the death penalty.

Felony

A serious crime, typically involving violence, punishable by imprisonment for more than one year or by death.