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Calc Test1 Part1

# Calc Test1 Part1 - (ME jiari ID Math 1206 Test 1 Spring...

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Unformatted text preview: (ME: jiari' ID Math 1206 Test 1 Spring, 2008 Instructions: You must justify all work and only use methods discussed 1n class. Write your name and your student [D number at the top of the page, and sign the pledge. I will neither give not receive unauthorized assistance on this exam Signature: f( ) 2x if x is arational number . 12 ' x = . . . . f ' ,1. 1 ( ms) comm” 0 if x IS an 1rrat10nal number orxm [0 1 (a) Find the Riemann sum of f(x) respect to the partition P: {0,—- l 2. ... ”2—1 ,1} evaluating fat the right ’1 P! H endpoint of each subinterval. Then, ﬁnd the limit of the this Riemann sum as n —-) co k Iva-l 1 - , (”’{m’ﬁ- {-51-} 1.1;) 5 | bin—:i-ﬁx CI ”C2 Cw % w ) .- _ .2‘ 2K 1 / «(”11" ": 1:31] t ctr-"‘;“:ﬁ(i Ell-W‘- -——-— 5? if”) _2 > m ”I ,n ”W. a]: ,2 47 ﬁrm ng'g’meij’méfi) : 1. ‘ NOT?‘1¥(1:_15-_2£ 11902425.: "sq-00 ”1"“? ”I 'ﬁ'l’no M ”I E. is, raTJemi "I Inlm'nlstr (b)Find the Riemann sum of f(x) respect to the partition P= {0,— 1 2 ...... ,n_l,l} evaluating f at an n n n Irrational number ciineaeh subinterva]. Then, ﬁnd the limit of the this Riemann sum as n—mo 9;): E-fCCHAK . Cu is I‘rroliioﬂul owning:- :\,. kc“) : 0 Ln l gP-zo bi 117;"? P 7.0 Mauro (o) Is the ﬁmction ﬁx) integrable? Why? \ Why not? 1 NO . 39mm: ﬂ: ﬁfmh‘} of no 9'.th fuml 45/?!» 01" no me alzﬁffrrht A s; 21 M: o ”3.7m ”limo ...
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