Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 401
area is 16 a-. The evaluation of (4) may sometimes be simplified by trans-forming to polar coordinates in the plane XOY. 384 MULTIPLE INTEGRALS Ex. 3. Find the area of the sphere x + f + z = a2 included in acylinder having its elements parallel to OZ and one loop of the curver = a cos 2d (fig. 225)… … Fig. 225 V«2 - r2 It is evident that the required area qis twice the area cut out of the sphereon one side of the plane XOY, andthat this latter area is twice the areaover the half of the loop of the curver — a cos 2 6 which is in the firstquadrant. Hence we integrate first with respect to r from 0…
Geometry, Analytic · Calculus
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