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KEY Student Name and ID Number MATH 1501 Test 2, Fall 2005, WTT 1. State the Intermediate Value Theorem: be hme cae te Fos cordinusus om a Clpsed am , avd (3) ar ce any neal ruben betwen $0) and Hb), then Han evish a neabrmpirn 6 hth 2 aud b so Hat flay aw. 2. State the Max-Min Theorem: . A function f fbach « continups on A aboad wctoord achiaste BP f matviniin avd A minis me an , ce hem gy lst acef nunutes 611% € CA.b1 so fat $e.) « $lxl & fle.) Pr wey x é Ca, 6] 3. State the Mean Value Theorem: Suge Yet fe conti auone tr Yee crud amvisune CA2.67] ad Ait fer hidbe oe dhe tytn tn torrel Cab). Tarn Mere tyaed c €CA,b) go thet pee) = $4) - 40) bre 4, What is the distinguishing property satisfied by Une Real Number system but uot by lhe Rationals? (2) ace a a, Lisblaghgen bated! 5. Given f(a) = 23 sin 5a, find fi(2): “a ‘ 2 _ . 2 7 Fos x? (Cor Sx) $ t (Om ERI TX i a T= 6245 dw, 6. Given w= # OE, find GP: (eos 32)CMHt-b) - (22 -gere Can3s2y) to >F