Calculus Archive: Questions from June 11, 2022
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Calculate rx(x, y) ry(x, y) = rx(x, y) × ry(x, y) = = Ər(x, y) əx Ər(x, y) ду
Calculate the following expressions. grad (x²y + xz³), div (x², yz, xy² z³), rot (x², yz, xy² z³).
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F(x, y, z) = (x, xy², xz) div F = 2xy + x + 1, rot F = (0, -z, y²). Scap : r(u, v) = (u, v, (u² − 1) (v² − 1)), (r(x,y) = (x, y, (x² − 1) (y² − 1)) if you prefer.), V = {(x, y, z) : -1
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In problem 1 through 5, evaluate the line integrals:< D f(x,y)ds,f f(x,y)dx, f(x,y)dyRF Along with the indicated parametric curve:< 1. f(x, y) = x² + y², x = 4t − 1, y = 3t + 1, −1 ≤ t ≤ 1ª
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