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calc test 2 sol'n

calc test 2 sol'n - Carleton University Math 10073...

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Unformatted text preview: Carleton University Math 10073, Protest #2 1. Consider the following function E ifazvzio f(~r)= 3—1; Ifﬂgrréfi (tr—:3)2 imeB Discover whether f iii oontiuuouo at O and 3, and, oproEn Why. Find the type of discontinuity, if there is any. um «L Jr“)! ‘7' ’3’ a L (3*?) = 3 J 'JLCH'T'E yq¢~ r—ro“ {L41 booms . m'mﬁcfmt— air-o 'c‘mt- \L Lﬂﬁx {Em-{J ULRS L goﬂm3=o. L (tutti-=0 ,. H33=M.b. 1-551- xaa' 3 . «if ’3 But No Utah (Q- {L ga ﬂu ~94;th _ ﬂ Mott- 3 . ‘ ~ K M f 5v» a MAM-own“: 9A5!” M“ W {Q E Find the limit. Justify your anﬁwar: VHF—9 (.2) lim ~-'-— (5) 11m r-rm 21: H 6 (a) lim+ tan—‘(I/as) x—rﬂ (6) gig (at) rum .1. ca 32—9 xH—m 2:1: — 6 VmE-i-Q—S “-4 1+4 1 "W AW) ”W” x (in-- (”M 3. Find the 11.(.JI'iFS(IJI‘1tHl and vertical asyn'lmtes of the following functionhs. Juﬁtify YOU}: EXI'IS‘VE‘F. (a) t— 1+1‘1 JWJI-‘z—mlll I-E- 3;” ~ Hy AI- ._———-" F:- 3:_\ V) on... RI'A ‘ x—‘arm xE-XH 570 It» LLLLC— M 3 V- A. “(w (DUE. \ H-F‘“ 4. Calc‘ula-ate y’ (a) .1:2+4:c+3 “L" W (C) yzcr+1r #- '2 (b3 3 = x3 per/3 H1 ‘7‘ : 'XWF" + "i' ’5‘ I r /'5 l 55. Find. an equatimi of tangent line to the curve y = W at the point (1. 1). '3 V l' ‘ “" /¢r{ _ i 5/: 7- H I if = I: '2' J mﬂ-‘q‘ 6. There might be a queetim‘i on the graph of derivative (if a function. Then I reeon'uiiend to do 3, 6‘ 10 of section 2.8 of chapter :2. ...
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