The velocity field of a steady flow is given as v=(u0+bx)i? b y j , where u0 and b are constant. find the acceleration in the x- and y-directions if u0=1m/ s and b=0.3m .

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Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k

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