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5 Solved Questions for Exam 4 - Foundations of Mathematics | MATH 3328, Exams of Mathematics

University of Texas - Rio Grande ValleyMathematics

Material Type: Exam; Class: Intro Mathematics Proof; Subject: MATH; University: University of Texas - Pan American; Term: Summer II 2009;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

koofers-user-ch9
koofers-user-ch9 🇺🇸

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Download 5 Solved Questions for Exam 4 - Foundations of Mathematics | MATH 3328 and more Exams Mathematics in PDF only on Docsity!

Math 3328.01 4th Exam Summer 2009 (4 points): Let. a,b,c € R. Show that (ab + be + ca)? > 3abe(a ++ c) LHS-RHS = (altbcicn)*— akc n4htd = = Cah )t +(e? 4 Con)? + 2] CoB)(0c) + (bc) (ca) + (ead Coh)| ~ 3) (cad ab) + Cab) (C+ (be) Cand | = = (ab)? + (Be)%4 Coa)? -[ (ob llbe) + [he)lca)4 Cea) (o6)] = AL lob be) 4 (be~ cals Cea ab)? eo OF & FUM of squate >. (ah - bc)* Ze (late tea)? Sabc lath tc) xo (€c-ca)?#z 0 Cra al)tzvo => (abs Qc toa) > Zobe Catheter.