Schaum's Outline of Theory and Problems of Beginning Calculus

266 APPLICATIONS OF INTEGRATION I1 : VOLUME [CHAP, 333M01 The region bounded by y = 4/x and y - (x - 3)z; about the x-axis. poticc that the curwca intersectw h x = landx=4.~1is~laboul1heintersacdonatx=l?)(k) The region of part 0; aboul he y-axis.(0 The region bounded by xy = I. x = 1, x = 3. y = 0: about the x-axis.(m)The region of pan (0; about the y-axis.UK the crmsiection formula 10 Rad the volumc of the following solick(U)The Wlid har 8 base which b a arck of radius r, Each ms) ssction perpendicular to a fixed diametetof the circle is an Lsorceles triangle with altitude equal to oae-haUof its base.(b) Tbc solid is a wedge. cut from a pcriaCtly round trac of radius r by two planes, one perpendicular tothe axis of the Itet md the other inlensecting the first plane at an angle of W along a diameter (seePig, 33-20).(4 A square pyramid with 8 heisht of h units ad a bort of Side r unira [Hint: Locate the x-axb 8s in Fig.33-21. By similar riglit ~riangks.d h-x-Iehandwhich &ermines A(xl.1(4 The tetrrhedron (see Fig. 33-22) formed by Ihroe mutually perpendicular CaccS and thm muldyperpendicular edges of lengths n, b, c. [Hh: Another pyrsmid; proceed 85 in part (cl-]IT XtX