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Determine the volume of solid generated when the region bounded by the curve y²=x³ and the x-axis, is revolved about the x-axis.


Determine the area of the region enclosed by r=√3 cos(theta) and r=sin(theta) on (π/3, 4π/3).


Determine the volume of the solid formed when the region enclosed by the curve y=√x, the x-axis and the line x=4, is revolved about the line x=4.


Find the volume of the solid obtained when the region enclosed by the curve x=2-y² and the line x=y is revolved about the line x=-2.


The region bounded by the curve y=x²-2 and the line y=-2 and x=2 is rotated about the line y=-2. Calculate the volume of the solid formed.


Determine the volume of the solid generated by revolving about the x-axis the region bounded by the curve y=x³, the x-axis and the line x=2.


A W 310 x 86 shape is to be used as a bridge crane runway girder.The girder is on a simple sapn of 6m .Assume that the crane wheel imparts a vertical load of 72 kN and lateral load of 7 kN applied at a top flange of the girder.A standard rail weighing 0.414 kN/m will be used .Use A 36 steel Fy= 250 MPa.


Design and operation the different types of settling


Find the length of the arc of the parabola y^2=4x from the vertex to a point x=4


Determine the area of the curve x²=1/y and the y-axis, bounded by the line y=1 and y=5.