(a) If f(x, y) = x²y, show that in the notation given, df = 2xydx + x²dy. (b) Using the same notation and approach, write the differential df for the following functions: i. f(x, y) = xy cos(xy), ii. f(x, y, z) = x² yey/z, iii. f(0,0) = sin²(o) cos(0).

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