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Exam 2 - 5 Questions on Calculus III with Solution | MATH 241, Exams of Advanced Calculus

University of Illinois - Urbana-ChampaignAdvanced Calculus
Prof. Henry K. Schenck

Material Type: Exam; Professor: Schenck; Class: Calculus III; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2010;

Typology: Exams

2010/2011

Uploaded on 06/28/2011

koofers-user-bhw
koofers-user-bhw 🇺🇸

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Mm 24 | PT ot 4. a)_Find Volume of 7 Lon loo weak boy pavall ode 2 = xi ey? and a = BE - 2x7 a ayh b) Find the center of ass (densil, w coastak ) a: Fov fini = x2 (ayy B ys a) Ev £ fy fi ies fy b) Shake “ns. second — docw thive jest - C) Fwd all ae hical points Gnd _cetevmire tt max, min, 4dddle ov b) wneon clusive - 3: Find max /mm valves of Finy)=x"y subyect ty Alcs constraint x24 Quy = GC, Hinf: Maxvaray J U ¢ 4. | Use a _ doubk tncleg rod to fil avea of re. _loap of sheen C= cos 29 US pts dca bee lon, ‘j 10 pis Sot ve ¢¢ ; S pts Solve it) 1 xz Y4 SF ( { (*, a 7 J Tey X=0 WE 20 ay lo. pt write as (yt £442) dx dy 42 b) jogs wih as ——((( fx) de dxdy. JJ I