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  • 4 years ago

A parabolic reflector is formed by rotating that part of the curve \[y = +\sqrt{x}\] which lies between x = 0 and x = 1 about the x-axis. a) Find the surface area of the reflector. b) Find the volume of revolution of the solid generated by revolving the curve about the x-axis between 0 and 1. c)Show that the length of the arc of the curve between 0 and 1 is: \[L={{1 \over 2} {\sqrt{5} + {\cosh ^{-1} \sqrt{5}} \over {2}}}\]

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  1. perl
    • 4 years ago
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    whats the surface area formula? integral 2pi sqrt ( 1 + f'(x)) ^2

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