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  3. 27 consider the following coordinate transformation from familiar rectangular coordinates...

Question: 27 consider the following coordinate transformation from familiar rectangular coordinates...

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2-7. Consider the following coordinate transformation from familiar rectangular coordinates (x,y) labeling points in the plane to a new set of coordinates (μ, v) a) Sketch the curves of constant μ and constant v in the (x,y) plane. b) Transformi the line element dS2 = dr2 + dy2 into (μ, v) coordinates c) Do the curves of constant μ and constant v intersect at right angles? d) Find the equation of a circle of radius r centered at the origin in terms of μand v. e) Calculate the ratio of the circumference to the diameter of a circle using (u,v) coordinates. Do you get the correct answer?

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