Differential And Integral Calculus for Technical Schools And Colleges
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In our eReader you can find the full English version of the book. Read Differential And Integral Calculus for Technical Schools And Colleges Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Differential And Integral Calculus for Technical Schools And Colleges
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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'.
What to read after Differential And Integral Calculus for Technical Schools And Colleges?
You can find similar books in the "Read Also" column, or choose other free books by P a Preston Albert Lambert to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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'.
What to read after Differential And Integral Calculus for Technical Schools And Colleges?
You can find similar books in the "Read Also" column, or choose other free books by P a Preston Albert Lambert to read onlineMoreLess
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