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Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and domain on top. Example with a horizontal line: /() = 4, 1

Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and domain on top. Example with a horizontal line: /() = 4, 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and domain on top. Example with a horizontal line: /() 4, 1<<4 -2 -1 0 3. 4. 6. 10 -1 -2 -3 Reflect your function in the x-axis and add it to your graph in the chosen domain. Sketch the outline of the solid created when the function revolves around the x-axis. a. The volume of the solid can be calculated by adding up the area of each disc formed by rotating f (x). Write down the expression of the area of any one disc at x. b. I Assume the thickness of the discs are infinitely thin and denoted by dx, add up all the discs using integration to derive the general volume formula whenf (x) is rotated around the x-axis in your chosen domain. C. Calculate the volume of revolution of the solid formed using your function in your chosen domain. Show all calculations.
Transcribed Image Text:Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and domain on top. Example with a horizontal line: /() 4, 1<<4 -2 -1 0 3. 4. 6. 10 -1 -2 -3 Reflect your function in the x-axis and add it to your graph in the chosen domain. Sketch the outline of the solid created when the function revolves around the x-axis. a. The volume of the solid can be calculated by adding up the area of each disc formed by rotating f (x). Write down the expression of the area of any one disc at x. b. I Assume the thickness of the discs are infinitely thin and denoted by dx, add up all the discs using integration to derive the general volume formula whenf (x) is rotated around the x-axis in your chosen domain. C. Calculate the volume of revolution of the solid formed using your function in your chosen domain. Show all calculations.
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