Find the Exact Mass of a Thin Wire in the Shape

question 62

Short Answer

Find the exact mass of a thin wire in the shape of the helix $x = 2 \sin ( t ) , y = 2 \cos ( t ) , z = 7 t , 0 \leq t \leq 2 \pi$ if the density is 4 .

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Definitions:

Louisiana Purchase

The 1803 acquisition of French territory by the United States, doubling the size of the country.

Dessalines

Jean-Jacques Dessalines was a leader of the Haitian Revolution and the first ruler of an independent Haiti under the 1805 constitution.

Commercial Sanctions

Penalties imposed by one country or a coalition of countries against another for economic reasons, often to discourage certain policies or activities.

Hamilton's Financial Programs

A series of measures proposed by Alexander Hamilton, the first U.S. Secretary of the Treasury, aimed at stabilizing the American economy after the Revolutionary War, including the establishment of a national bank.