3. The graphed region is rotated around a line, and a student computes the volume of the resulting solid using the following integral: [ª 27(y – m) (g(y) — ƒ(y)) dy Which of the following best describes the axis of rotation? + a ţ A. a vertical line x = m, where ma B. a vertical line x = m, where m > b C. a horizontal line y = m, where m < c D. a horizontal line y = m, where m > d Fully explain your choice; you may use sketches or diagrams to augment your explana- tion, but a diagram alone is not sufficient.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 19E
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3. The graphed region is rotated around a line, and a student computes the volume of the
resulting solid using the following integral:
[ª 27(y – m) (g(y) — ƒ(y)) dy
Which of the following best describes the axis of rotation?
ţ
A. a vertical line x = m, where ma
B. a vertical line x = m, where m > b
C. a horizontal line y = m, where m < c
D. a horizontal line y = m, where m > d
Fully explain your choice; you may use sketches or diagrams to augment your explana-
tion, but a diagram alone is not sufficient.
+
a
Transcribed Image Text:3. The graphed region is rotated around a line, and a student computes the volume of the resulting solid using the following integral: [ª 27(y – m) (g(y) — ƒ(y)) dy Which of the following best describes the axis of rotation? ţ A. a vertical line x = m, where ma B. a vertical line x = m, where m > b C. a horizontal line y = m, where m < c D. a horizontal line y = m, where m > d Fully explain your choice; you may use sketches or diagrams to augment your explana- tion, but a diagram alone is not sufficient. + a
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