Solve the Problem $y = \cosh x$ , Below by the Curve

question 46

Multiple Choice

Solve the problem.
-A region in the first quadrant is bounded above by the curve $y = \cosh x$ , below by the curve $y = \sinh x$ , on the left by the $y$ -axis, and on the right by the line $x = 12$ . Find the volume of the solid generated by revolving the region about the $x$ -axis.

• A) 0
• B) \(\frac { \pi } { 2 } \left( e ^ { - 24 } + 1 \right)\)
• C) \(12 \pi\)
• D) \(2 \pi\)

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Definitions:

Amoeboid Cells

Cells that move or feed by forming extensions of their cytoplasm, known as pseudopodia.

Rhizarians

A diverse supergroup of amoeboid cells that often have hard outer shells, called tests, through which cytoplasmic projections extend; include forams, actinopods, and certain shell-less amoebas.

Unikonts

A group of eukaryotic organisms that include amoebas, most animals, and fungi, characterized by a single emergent flagellum.

Evolutionary Significance

The impact or importance of evolutionary changes and adaptations in the history and development of species, populations, or genes.