How do I find the scale factors for the parabolic coordinates: x = 1/2 * (u^2 + v^2) and y = uv. And how do I find the arclength of the curve given in parabolic coordinatess by u = t and v = 1 where t [0,3]?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How do I find the scale factors for the parabolic coordinates: x = 1/2 * (u^2 + v^2) and y = uv.

And how do I find the arclength of the curve given in parabolic coordinatess by u = t and v = 1 where t [0,3]?

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