midterm1+solutions

midterm1+solutions - t(10points ifpossible Evaluate a...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
t. (10 points) Evaluate ifpossible. a) Jcos'(nr)sin(ru)at lvt t' : \t^ : l,c" Co; fi4 dw= -bin TTt. ff dt b't'A f L d+ oJnL+c a 1f r1-4r \ ff) , ,.* I TTtc=-ffi Cher-k.: L dt, : ( ft o* tr+ + c-) - # ,f ,oJ Tft.( cp'?rL ';in f L 9in 1II).7 +6 b) i .P- *'\^tu 'o ' lor wa q'x7 dw= - >xd\ xdt<, + ,u;h+-* X= O,lL=1 vche* X=b ,l-L-- 4-V>= 0 o ( .* r dt = J a'[- 3) qA :-i+1: '(Dh-qo) 'qb : 1- ,lD
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(10 points) Find the number b such that the line y = b divides the region bounded by the curves ! : x2 and y = 4 (as shown) into tvro regions with equal area. 5"+ j=*-, K= ! {t :>, + A^a , &vtr # %4^ @ '- &naa oP re1,ro"@ , ,V12. + ,oln ?b 7 30 . rvl> D= )\=f"rg d5 o : ,:t11o = T'), A"u, o$ gon @ ,Jf ory - ( rr))db= 4/,71> */r .. hb -=./e(4 ?l)- ll> vd r+ f'' r 8'n, 7t> _ j,-) IJ,, al> >D: tlv Ll >l> 4 T f,qr, 'o*#Jro \(r'''-f") zlt
Background image of page 2
3. (10 points) Determine the volume of the sotid obtained by rotating the region bounded by ! = x3, ) 8o and .r =0 (as shown) aboutthe line x =2. a .'. . V=JntSlar xc L0aav,u Gvt A(5) n z> j''''r G''' (.""?- r,^ I ./ !=( ) o ?t) n( I Cn '-7 Gvf ii (u {'t - f'-) al t ,+b ,bl) 18 :n(+ *- +)l "nl, 4b , )u r 4 .{lt- 7 A"t+-o) =fi [+ q'6
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/25/2008 for the course MATH 2B taught by Professor Staff during the Winter '05 term at UC Irvine.

Page1 / 5

midterm1+solutions - t(10points ifpossible Evaluate a...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online