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1987AB3

# 1987AB3 - I987—H33 | 3 Let R be the region enclosed by...

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Unformatted text preview: _. I987—H33 | 3. Let R be the region enclosed by the graphs of y = (64.x)4 and y = x. (a) Find the volume of the solid generated when region R is revolved about the x-axis. (b) Set up, but do not integrate, an integral expression in terms of a singEe variable for the volume of 4“,: ‘t the solid generated when region R is revolved about the gins. i Point's a"; imﬁrseci'ion'. X as mgunctfon o?- L43 4-,] to ‘l X = x 4+ ¢.Ll><'=><+ ij'=4-Jt,‘fx %x=—"3— O :1. X(Xé"€a‘i‘) (9‘).“ .:<=Oa x=‘+ Hit/64x] t ‘ :‘Wrrxkf A WWWHW ° 4 CL) “washer-s“ : OK “Shells" : q. Vat ‘1 3-) ‘l- V“ = W Slaw") 1"“) 4* Vx = ”50 0R \\ WWW-”Leweﬂwmmﬁ. . ,,.r_ W ‘ ,,._ _,____ :"M b) “Shelia;H : i 5'- ‘/ V‘i = :11? 50 X [(64%) +-x]d;< 1987 AB3 ,m-u- -Mw"1-wvwm-W.r—Ie-Mna __ washer-5 1/ Li» 5 =11- o[(Q4X)2_¥2‘JdX =ljr§°(‘j' "£43d? 59' ‘l .1. a, H‘ "2-H" 0 (8X —X)dx =21T-(J-é3— _%__)] .2. 3/4 x3 ‘l 191+ was) a when ell, = v we) . ”r 130.. _ 9; =27 (éi _ est-Ir _ (947!" ' 3 - 3 ...
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