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Let O = {(x, y, z) € R³ | z > 0}, and let : O → R³ be the mapping defined as V(x, y, z) = (x,x+y, x² + z²). (a) Show that is a smooth change of variables. (b) Let K = {(x, y, z) | 0 ≤ x ≤ 4, −x ≤ y ≤ 4 − x, √25 – x² < z ≤ √36 − x² } . - Use the change of variables theorem to evaluate the integral S dxdydz. (x + y) z x² + 2² * ܢ
Please answer it in 10 hours Don't copy others answer
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