(1) Let F(t) = t²i+sin(t), f(x, y) = xy² - 2y, and F(x, y, z) = xyzi + (z² + y²)j. Calculate each of the following: (a) DF(x, y) = (b) Vf(x, y) = X₁ (c) Find the directional derivative of f(x, y) at (2,1) in the direction of u = 47+3j

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