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14 Questions on Calculus III with Solution - Exam 2 | 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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—— 1) SOs 1 (20 points) 1. (6) State, with hypotheses, the second derivative test. Th second por het ¢ ave ror at \ad) ae im a gmat dk, onl (ab) i 4 ent at, bu H = beg bys TH # >O Aull oe exe Oo Yoox } he , byedo min . QO Sabile HA=@ molt, 2. (7) For f(a,y) = e%(y* — 2°), find fr, fy fee, fey, ‘ and ail critical points fi: et(-2«) f, = duye* +4 rot / Cadet fay = aye ts2el 4 due i. f 2 ae = @rtyty"e “a* -~21x oe yo je =O 8 (amo 9 907 OHIO peo Crt pts (0, °) 4 0,-2- (0,-2) 3. (7) Classify critical points as max, min, saddle, or indeterminate. \-2 0 Hog ~ = -4 Saddle OZ 2 Hiya) ~ (7 2 ~ Yo! 7 Ce <0 mar