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show all work please Show algebraically that the curve with parametric equations x = V2 cost, y=42cost, z = 2 sint is the intersection of

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Show algebraically that the curve with parametric equations x = V2 cost, y=42cost, z = 2 sint is the intersection of the surfaces y = x + z and y=-x? +4. (hint: in order to be the intersection of two surfaces, this curve must lie in both surfaces)

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