Given 
a.Find 
and 
.
b.Sketch the curve defined by r and the vectors 
and 
on the same set of axes.
Definitions:
Lowell
A city in Massachusetts known for its significant role in the American Industrial Revolution, especially in textile manufacturing.
Slater
Samuel Slater, often known as the "Father of the American Industrial Revolution" for introducing British textile manufacturing technology to America.
Presidential Election
The process by which a country selects its head of state, in nations with a presidential system, typically involving a direct or indirect vote by the citizenry.
Electoral Votes
The votes cast by members of the Electoral College, which formally elect the president and vice president of the United States.
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