Find the Volume of the Solid Obtained by Rotating the Region

question 11

Essay

Find the volume of the solid obtained by rotating the region bounded by $y = \sqrt [ 3 ] { x } , y = e ^ { - 2 x }$ and x = 1 about the line x = 1. (Use a graphing calculator.)

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Definitions:

Civil Rights

The rights of citizens to political and social freedom and equality, often protected under law, including freedom of speech, the right to vote, and equality before the law.

Truman Administration

The presidential term of Harry S. Truman, from 1945 to 1953, characterized by historic events such as the end of World War II and the beginning of the Cold War.

African Americans

A racial or ethnic group in the United States with ancestry from the black racial groups of Africa, whose history and culture have significantly shaped American society and politics.

1945-1954

This period marks the aftermath of World War II and the onset of the Cold War, witnessing significant political, social, and economic changes globally.