34. (a) Find a parametric representation for the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a
34. (a) Find a parametric representation for the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a
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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I would need some help with this problem #34, please?
![CHAPTER 10
REVIEW
733
33. (a) What happens to the spiral tube in Example 2 (see Fig-
ure 5) if we replace cos u by sin u and sin u by cos u?
(b) What happens if we replace cos u by cos 2u and sin u
by sin 2u?
(х, у, z)
34.)(a) Find a parametric representation for the torus obtained
by rotating about the z-axis the circle in the xz-plane with
center (b, 0, 0) and radius a < b. [Hint: Take as param-
eters the angles 0 and a shown in the figure.]
(b) Use the parametric equations found in part (a) to graph
y
the torus for several values of a and b.
(b, 0, 0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42e9f81-03da-458b-a263-0f9c45b252f6%2Fc50135e4-fd71-418e-8249-1d7acde68088%2Fofv97ra_processed.png&w=3840&q=75)
Transcribed Image Text:CHAPTER 10
REVIEW
733
33. (a) What happens to the spiral tube in Example 2 (see Fig-
ure 5) if we replace cos u by sin u and sin u by cos u?
(b) What happens if we replace cos u by cos 2u and sin u
by sin 2u?
(х, у, z)
34.)(a) Find a parametric representation for the torus obtained
by rotating about the z-axis the circle in the xz-plane with
center (b, 0, 0) and radius a < b. [Hint: Take as param-
eters the angles 0 and a shown in the figure.]
(b) Use the parametric equations found in part (a) to graph
y
the torus for several values of a and b.
(b, 0, 0)
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