1400exam12

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

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

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

View Full Document

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

View Full Document
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)[email protected] 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

{[ snackBarMessage ]}

### 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
Ask a homework question - tutors are online