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The base of a right cylinder is the circle in the xy-plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y-axis inclined at 600 to the xy-plane, as shown in the diagram.
(a) A rectangular slice ABCD is taken perpendicular to the base of the wedge at a distance x from the y-axis. If the slice is xδ thick, show that the volume of the slice is given by
(b) Explain why the volume of the wedge may be represented by dx Evaluate this integral, using calculus methods, to find the exact volume of the wedge.
We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku = F(t) It is just a non-homogeneous differential equation and we identify h
One inch equals 2.54 centimeters. The dimensions of a table made in Europe are 85 cm huge by 120 cm long. What is the width of the table in inches? Round to the nearest tenth of an
The base of a right cylinder is the circle in the xy -plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y -axis in
6.3/o.21
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