Use the Shell Method to Set Up and Evaluate the Integral

question 6

Multiple Choice

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by about the y-axis. Round your answer to three decimal places.

• A) 5.987
• B) 0.561
• C) 2.047
• D) 0.972
• E) 2.917

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Definitions:

Aerobic Respiration

Breakdown of glucose in the presence of oxygen to produce carbon dioxide, water, and approximately 38 ATPs; includes glycolysis, the citric acid cycle, and the electron-transport chain.

ATP

Adenosine triphosphate, a molecule that carries energy within cells for metabolism.

Nutrient Molecules

Essential compounds absorbed by the body to provide energy, support growth, and maintain and repair body tissues.

Energy Production

The biological processes by which cells convert nutrients into usable energy, primarily through respiration and metabolism.