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Sol#4 - MATH 171-10c Assignment 4 Guidelines Begin by...

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Unformatted text preview: MATH 171-10c, Assignment 4 Guidelines Begin by answering the questions in the space provided; you may write on both sides of the paper. Additional sheets may be attached if necessary. Staple all sheets together before submission. Put down the names of 'all group members in the top right corner. Write neatly and legibly; untidy presentation may lead to appropriate penalization. Due: Friday, Feb 19th (by 5 pm) 1. (10 marks) Compute ' , v 33:2 + 2:1: + 1 11m ————-——. az—+—oo 5 — 3km] Show all your steps clearly. 2. (10 marks):Determine the values of the numbers a and b so that I'm $2+ax+2b __l 2:42 132—4 — 3- . I 5.. Explain your reasoning clearly and completely. 3. Let a be a fixed number. Consider the function x2+ax+a2, ifm<1; f(a:) = 1, if a: = 1; 3z+2a, ifa: > 1. t (i) (10 marks) Determine the value(s) of a so that lirn1 f (1:) exists. Explain your reasoning ' 3—» clearly. (ii) (5 marks) For which, if any, of the values of a found in (i) is f continuous at :1: = 1? Justify your answer. WW".— ermxmm-w“ ' ~m»~ vi. + '3, a» 4— )v 2} IQ» w» W“ M m l M , WWW "M u °" xnsu) W- M n. x...) w- 66 M_~_MHMWMM~M“WM 5“- 3114 -—-« Maw-humuswmmw a, .(CV‘W'V \/3+%Z+11“ Jug \ H “R‘s-A) .H W _“M‘_,M~WH___._,,-_‘.,,Nmnrtr;ng-ummw “ti-- W“ : w M" _ _ ~ 3 + 3;“ r 3 S a E \“§«§ My, m,”no:..-mv1mqu\¢cx~n4-wm~m,v\m-'o—v-vxr—I—Vl‘w.v-wn1A—>‘:—»-cw>ynt~>’v.- ..rr,,‘..--.~».(n<.~i- 0.... ”mi—“fl.- ”flaunflw gape-“avail 25. Am am an we : E! W-wvw Mann-Mun M W...” ,h ta: \& 3» w iii» «\» é”) guififg? at: wmw. »— .. v.- ”MW. «w; ' AWWmemm.-/fi_ww_fl :- My.“ 'k‘ff'fg‘ (‘33.) fikm .f :;> :1 MM {1% fix £1,143 4%. 1 Kama?” . . 2P9!" _ ’ 3+“ ‘2 a, H mfia‘ ” v a 7‘ kmui'é. hm €01) * M? . 1.“ ‘ _.. 4.: am)” 1%\ .7 ‘” awaifi‘. m) (a X. .. "mm...“ mm”..-n.»:-..».vm«.«r”In-.4». ”um-.7». ,,.r..-~—nvmv4:r:'«—M~.ammk\= ‘.-.-,u..m.‘._..m.-_-x,,;..~.«u,.‘_.,.;~4 nv-wu w ...
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