1400exam12 - YourNAME: 2g ‘ Show all work neatly to...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: YourNAME: 2g ‘ Show all work neatly to receive full credit. You may use a calculator, but most importantly I would like to see you do the process right. Plagiarism will have consequences. Check all your computations to make sure you do not make a mistake by overlooking exponents, coefficients, plus/minus signs, parentheses, etc. Find the intervals Where fix) is increasing, the intervals where fix) is decreasing, and the relative extrema: l. f(x)r=2x2——4x+5 will Mm. ’2’ 2. f(x)=2x3 —3x2’—i2x+2o cm) : 3(4)?” 3 (v!) "r Death tix\:oxl‘>€axwll :: ~2, H's-Hassle :27 . 21—! h -: (é ()8;va 5H2) 2: 2(2) "303 will?" :©(x4fl(ww)ew Iii? «\Qeawtie :1; r; ' - : n. I O a/ X l W X lice/tr. am. (woe, “0 U (2‘! ELM. on [Ml ,Qj'am) a Z.» W (-1) J. kWh Mn 3. Find the intervals where fix) m—sz ~6x2 +18x+5 is increasing, the intervals (22 0,) where fix) is decreasing, and sketch the graph.‘ log); ~; 6%)?— a (“Eli/ea +3“ trfairl+z>w3l :.é*v—-594—~9“<HV EWGW—i—s) (w :“W _ j/ > 1&0): ~awé+m+y /‘ . (X)SOI@ X”:ng X11] 518,, “F O ‘s" O Imeml?3/) _-~l~—%;~.__l._:v _ Damon (M, *3))(§Joe9) Your NAME: 4. Let fix) be continuous on (40,0) u (0,00) . Use the foilowing infomation to sketch the graph of f. ,w f(-1)m0, fCO) is undefined, f(1)=2, P(~1)=0, f’(1)“—*0, NO) is undcfmed P(x)>0 on (—90,—1)U(0,3); P(X)<{) on (-~1,0) U (1,00) IgE’F O W NbleOm; Ht +P.—~..u 5. Find the intervals Where the graph of f is concave up, the intervals whore the graph of f is concave downward, and inflection points, if any, for the function: f(x) = x4 *2)? ~36x+12 "78/60:: 4%3 waxy—"ECO Wm :- x; yk/ 1X m o w~—=a—~w> /;X(><-1> 3‘0 “55> X330 01” W Gong. OF 0” (“fig/0) 7K 0 05’ If 7\ ad ([JQCD) 3‘ Cowc . Mm. OH (0) (> 1m” Pfisa‘Y-fi 0, W" ~ Your NAW: 6. Find a1} reiative extrema using the second—derivative test. If the second~derivative test does not appiy, than use the first derivative test. (a) f(x) = x6 + 33:4 "~36 70/60 :2 mgwmj‘ :2 W3 (XZHJ Z O I ‘ * M «+me ~2> xwo Mgr/H. Inf/LO {VCR/Q .80 4‘ 0 f“ ajv 94:0 “‘1 ’ ’9 yz-fmw'éé (b) f(x)=x+3§ : +gs ,Xr-w/ "*9- AS" " :— w M :2 I” W3 7%!) I Q % z—B {if/(X) $§OX . {’beo a; #95.sz :0 22> X35 w ><:~~—s* ”—— 50 . w—yxe/fl. mm a} {335' —: W > .d, V 5.3 O > fir? yi'fi(g): IO Your NAME: 7. Find the absoiute extrema, if either exists, for f (x) m x3 —12xg'+ 12 on (a) [6,5] 3/ 7, 7L(>O:: 39C “‘“QLPX 33% (x «—— %> Cdfpfs-ze X349 wxig _: €03): (aflinbafl I Z:- F/Q‘S 10¢); f’; H g3 3 (SW—I A» (51+: 2 W M) (b) [0,4] “‘1 “M” we :- 43» ms 95+! 1: up; ) (p (wfggn 0W: 3:: (WW My 8. In a new suburb, ii is estimated that the number of registered voters will grow according to N0“) :10 + 6:2 w r3 , 0 S r S 5 Where t is time in years and N is in thousands. When will the number of voters be a maximum? NW) : mu 3&2 s 36(4th :0 Your NAME: ' 9. Find the indicated derivatives using the general power rule as weli as other derivatives and Do Not Simpiify: MM fog) = (7x + (5)363;2 + 23: w 94 f/(x) :: Bin—t (0)717 ' (5X3— 2%th flimwcji a; (aim-MOE (ray—+2) ' 10. The total cost (in hundreds of dollars) of manufactming x corporate logo key chains yerweekis C(x)=25+xl§2x+3,for0335550 CC .H M . 4 x «DA + (i Zia-Fe (A) Find the marginal cost a t a production ievel of x key chains‘ / .. I , 7” :2 6 W3 (B) Find C(21) and CG 7} and interpeet the resuits. C(24) a é : .Lw—mee 0. 27s 1?. u‘ +‘E 329?" 0/ ($7) : é :3 (5:5 0, 9/935 in Z. ...
View Full Document

Page1 / 5

1400exam12 - YourNAME: 2g ‘ Show all work neatly to...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online