(5.플,0) and (5를.10) Find the distance between The coordinates given are in cylindrical polar coordinates.
(5.플,0) and (5를.10) Find the distance between The coordinates given are in cylindrical polar coordinates.
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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Transcribed Image Text:Numerical Problems
1. Find the distance between (5,,0) and (5,5,10). The coordinates given are in
cylindrical polar coordinates.
2. Convert the vector à = 5r&, + 2singa, + 2cos0a, in spherical polar coordinates into
Cartesian coordinates.
3. Given that à = 3î + 2j – 4k and B = 4î + 2j – 3k. Find the smaller angle between with
at least two methods.
4. Use the spherical coordinate system to find the area of the round strip a < 0 < ß on the
spherical shell of radius a. What results when a = 0 and ß =
5. Develop the equation for the volume of a sphere of radius a from the differential volume.
6. Use the cylindrical coordinate system to find the area of the surface of a right circular
cylinder. Where r = 2m, h = 5m and 30° sps 120°
7. Transform Å = yî + xĵ + k from cartesian to cylindrical coordinates.
8. Use cylindrical coordinates to find area of the curved surface of a right circular cylinder of
radius a and height h
9. Use cylindrical coordinates and integrate to obtain the volume of the right circular cylinder
of problem 8.
10. Transform the vector à = A,a; + Agáo + Apap into cartesian coordinates.
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