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Exam 2 with Answer Key - Calculus I | MATH 221, Exams of Calculus

University of Illinois - Urbana-ChampaignCalculus
Prof. Joseph B. Miles

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

Typology: Exams

2010/2011

Uploaded on 06/27/2011

koofers-user-etl
koofers-user-etl 🇺🇸

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I (i) Find the absolute maximum and minimum and also where these extreme valucs occur of gx) = #6 — x? on [~1, V6]. oy oad. (~2+ J Cyl 2 VU bx F¥ i gle 2/ eat = oT Lb Lg eK forpu U6 = | gods on Es -vE = 23 : 4 FB) v3 Jz Pbscleclo iD OCEUMS oh Ch YR) 2 fee Fo 4(ve | Abscfube ring occurs at (33) (ii) Without using the Mean Value ‘Theorem, show explicitly that the conclusion of the Mean Value Theorem holds for f(x) = x? — 4x +1 on [2,4] MGl= 4-rr FF f(a Yn Pde 2753 sede Lb) a 4 aed Gee 2 2 Shee SG e2 ep Ayr 4H 82 OS KS3 Thea CPA’ (2 4) Sets trot Ae Crrclesssec ot he Meer Valen Teeren.