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anonymous
 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 xaxis.
a) Find the surface area of the reflector.
b) Find the volume of revolution of the solid generated by revolving the curve about the xaxis between 0 and 1.
c)Show that the length of the arc of the curve between 0 and 1 is:
\[L={{1 \over 2} {\sqrt{5} + {\cosh ^{1} \sqrt{5}} \over {2}}}\]
anonymous
 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 xaxis. a) Find the surface area of the reflector. b) Find the volume of revolution of the solid generated by revolving the curve about the xaxis 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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perl
 4 years ago
Best ResponseYou've already chosen the best response.1whats the surface area formula? integral 2pi sqrt ( 1 + f'(x)) ^2
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