Differential And Integral Calculus for Technical Schools And Colleges
The book Differential And Integral Calculus for Technical Schools And Colleges was written by author P a Preston Albert Lambert Here you can read free online of Differential And Integral Calculus for Technical Schools And Colleges book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Differential And Integral Calculus for Technical Schools And Colleges a good or bad book?
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Planes perpendicular to the X-axis at intervals Ax divide the solid into laminae LL'; planes perpendicular to the y-axis at intervals A?/ divide these laminae into prisms FP'; planes perpendicular to the Z-axis at intervals Aa divide these prisms into elements of volume aa'. The volume of aa' = Ax- Ay ■ Az; the volume of PP' = S Ax ■ Ay ■ Az—6 ■ Ax ■ Ay • Az, where 6 is less than unity. When Ax, Ay, Az approach zero, volume of PP' = 2 dx-dy-dz — 6-dx-dy-dz. Since 6 - dx • dy -dz is an infinites...imal of a higher order than 2 dx-dy •dz = PD • dx ■ dy, in the limit of the sum volume of PP =£ dx- dy ■ dz. The volume of the lamina LL' = 2 PP' ; the volume of the solid is ' x=OA x=OA y = BO F = 2 iL' = 2 2 PP'- X=0 95 = 1^ = Hence in the limit I I dx dy dz. 92 DIFFERENTIAL AND INTEGRAL CALCULUS Example. — Find the volume of the solid bounded by the 2 ^^ ZX-plane, the XF-plane, and the planes x=a,y=b, z=mx. In this problem I j dxdydz = m\ xdxdy Fio. 33. : mb £ xdx = ^mba'.
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