5a) assume that f: R² → R is continous. Make an argument that the equations y'(x) = f(x, y(x)) and y(x) = y(xo) + f(s,y(s))ds are equivalent. %3D

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A: Topic = Derivative

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Q: 3. Show that f(x, y, z) fxx + fyy+fzz = 0. = 1 x² + y² + z² satisfies the equation

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Q: 6. The function f(x, y) = (x², y², xy) is a function of f : C² → C³. Determine whether the function…

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Q: Consider f(x, y) = xy(²-x²) x² + y² 0 if (x, y) = (0,0) if (x, y) = (0,0) . Show that fay(0,0) = 1…

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