Solve the problem.The velocity field F of a fluid has a constant magnitude k and always points towards the origin. Following the smooth curve y = f(x) from (a, f(a)) to (b, f(b)), show that the flow along the curve is
ds = k[(a2 + (f(a))2)1/2 - (b2 + (f(b))2)1/2]
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Mathematics
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