# Please do it my homework as clear as u can !

1
by benzema
didnt understand ur question

2015-05-30T20:31:41+05:30

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Y = √x  and  y = x³

these curve meet  when  x³ = √x
=>  x = 0  or  1

y = √x  is higher than  x³  between x= 0 and x = 1.

areas under the curves / enclosed by the curves :

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at any x, the radius of the circular cross section of the paraboloid is y..

Volume of an infinitesimal  volume of a disc of radius y  and  thick ness   dx
= π y²  dx

the equation of the curve is     y = √x      or  x =  y²

Volume of the paraboloid :

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R = 50.0 ft
A = 2 π / 3 radians = 120 deg. = 2π/3 radians

Height raised by, when the wheel turns by 90 deg.  =  1 radius. = 50 ft.
as the person is at the level of the center of the wheel.
height raised by, when the wheel turns by 30 deg more =  R Sin (2π/3 - π/2) = R/2 = 25 ft.
The height above the ground = 25 + 50 = 75 feet..
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Angular speed = ω = angle turned / time duration = [ 2 π /3 ] / 30 sec
= π / 45  radians / sec