Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 406
■ VI limit is determined: = 0 in the equation by solving the equation — 4- — of the ellipsoid; for it is in the plane z = 0 that the ellipsoid has thegreatest extension in the direction <>), corresponding to any value of x.Finally, the limits for x are evidently 0 and o. Therefore Jo t/0 Jo… … dxdy 390 MULTIPLE INTEGEALS It is to be noted that the first integration, when rectangularcoordinates are used, leads to an integral of the form //< (Zo-z^dxdy, where z2 and zy are found from the equations of the boundarysurfaces. It follows that many volumes may be found as easilyby double as…
Geometry, Analytic · Calculus
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