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Parabolic mirrors and reflectors have the shape of a paraboloid of revolution. y = 4 x 2 Find analytically the area of the reflecting surface

Parabolic mirrors and reflectors have the shape of a paraboloid of revolution. y=4x2 Find analytically the area of the reflecting surface of such a mirror 4 feet deep and 8 feet wide by revolving the parabola about the y-axis. Reference: https://www.contemporarycalculus.com/dh/Calculus_all/CC_5_2_ArcLength_SurfArea.pdf

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