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a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates)

a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates)

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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a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates) x² + y? if (x, y) # (0, 0) b) Let f(x, y) = { Vx² + y² +1-1 Find the value of b (if b if (x, y) = (0, 0) possible) for which f is continuous at all the points in R?.
Transcribed Image Text:a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates) x² + y? if (x, y) # (0, 0) b) Let f(x, y) = { Vx² + y² +1-1 Find the value of b (if b if (x, y) = (0, 0) possible) for which f is continuous at all the points in R?.
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