Yeshiva University High School For Boys - Elchanite Yearbook (New York, NY)

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IV XP Q Imports I 0 1 5 SOCIAL STUDIES 5 .870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1821 1850 1880 1910 1940 1960 Raw Materials and Foodstuffs Manufactured Goods 555555555 E 555555556 E 4'-if Rabbi Morton Minchenberg B.A., Yeshiva, '61, M.H.L., '65 Canada lLate 1 eaeaaaar fy, ,fayy My . . ..,.,,,.., ., 4!-aj5f?92,3, 91 2 ff I 'ZV , y fha Zfnfvffnfg A-57' cent of total exports. sia and all Europe E Mr. Harry Wollman B.A., City, '19 ents per do lar of 50 i' ions P05 50 I0 of --. Tari I0 l--' Mr. Kenneth Allen B.A., City, 49, M.A,, City, T0 0 I ,-.213 I 1789 1800 Latin Ame, Mr. Joel Seigerman B.A., Hun er, ' , . ., un er, ' . Mr. Jerrold Aronson M.A., Columbia, '65 I 59 MA H t 64 I IVIUIXI-IIIC, I tw r Tariff . I 3 Tariff Mr. Harry Reiss Bs., City, '50 aaa

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E GLIH .f Dr. Noah Goldstein B.A., Yeshiva, '48, MA., Harvard '55, D H L '59 ..., Mr. Rudolph Bernstein B.A., City, '35 fig' Mr. Alfred Shapiro BA., City, '49, M.A., City, '51 Mr. Emanuel Bloom Dept. Chairman B.A., City, '29, M.A., Columbia, '31 Mr. Bruce Rachlin B.A., Yeshiva, '65 Mr. Louis Cohen B.A., City, '27g M.A., Columbia, '47 l'l0'l Sh0Wl1: Rabbi Label Dulitz B.A., Yeshiva, '54, M.A., Yeshiva, '59

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1 I aw fyi Q, ca' - 727' dy I aw ff, ca' - 24272 +79 dy I 5H7VlU4J' ' 50233 'l' a3'5lfa Z TSHMWG5- A nged by the substitution of -y for y, we mi 7 I a to get U2 and then doubled. y and the planey 2 17, see p. We B.S., City '29, M.A., Columbia, '31 Example 6. Consider the elliptic paraboloid Z -l- F I 2 '53 rolid have constant weight density tis and loca Zi? vity. its ITIOITICIH Mr. Harold Baron 155' ..-f' Bs., city, '61, M.A., City, '63 'aim fl! Mr. Larry Wachsman B.A., Yeshiva, '63, M.A., Yeshiva, '65 Mr. Mark Schwartz A xf ' X b' I-t ,.:A.. Ofy Sbyr' points yo I e the allel elliptic slices ' nes axis f' Let yi' be a yof Ifw O I f g Bs., NYU, '55, M.A., NYU, '62 'OD ' QAMM : yfmwjk that Z :- fal such -ff CA Mr. .lay Stepelman 7,,l p77'xk Z Dept. Charrman Of kth B.A., City, '54 re weight ot tnis element to be Mr, Samuel Grossberg :s center Mr. Arthur Hyman Bs., City, '27, Ms., city, '27 moment for kth element, Mx I lim E CZ axis moment for solid. H lc 1 But the eguation of th Figure 12.8, is x2fa2 I y, so X I Q xfy. Similarly, tffe eouation . yz-trace, is 25762 2 y, so that b yfy, Hence Rabbi Dr. Abraham Rapaport B.A., Yesn' 5, '47, M.A., columbia, '47, M iiun., Yeshiva, '52 170553. C25 . TThe area of an ellipse of sernimajor and semiminor axes u and zz is vruv.