Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x? – a and y = 0 about the y axis. %3! Be sure to do all of the following: • Draw a sketch. • Draw a representative rectangle, this helps you determine the variable of integration and method. • State method used: disk, washer or shell. • The integral(s) you are using to find the volume. Clearly work out the integration. • Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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Please answer all the parts to the following question listed below. Thank you

Find the volume of the solid generated by revolving the region bounded by the graphs of
y = 2x? – a and y = 0 about the y axis.
%3!
Be sure to do all of the following:
• Draw a sketch.
• Draw a representative rectangle, this helps you determine the variable of integration and method.
• State method used: disk, washer or shell.
• The integral(s) you are using to find the volume.
Clearly work out the integration.
• Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.
Transcribed Image Text:Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x? – a and y = 0 about the y axis. %3! Be sure to do all of the following: • Draw a sketch. • Draw a representative rectangle, this helps you determine the variable of integration and method. • State method used: disk, washer or shell. • The integral(s) you are using to find the volume. Clearly work out the integration. • Clearly mark your answer, leave answer in EXACT form. Do NOT give decimals.
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