{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MTH132-Test3-Sol

# MTH132-Test3-Sol - Page 1 2008-1 l-6 Name(Print Clearly...

This preview shows pages 1–4. 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: Page 1 2008-1 l -6 Name (Print Clearly): Student Number: MTH132 Section 5 & 18, Test 3 Instructor: Dr. W. Wu Nov 7, 2008 Instructions: Answer the following questions in the space provided. There is more than adequate space provided to answer each question. The total time allowed for this quiz is 50 minutes. 1 [4 pts each]. Find limits of each of the following 3/5 . x — l (a) 11m 2 ,3 A‘—>l x ’ _ 1 w ‘6 i f mt 4; v m a E“ if: g XWW l’g’ if 7:14;.” “,1; iwx when“ i g ~ A} («gr 5. )1 2 J X; y; g» .t 4X“? ’3‘ e, 3 X {Ni/K X 9“: J: «3/; ,«m M“ “T” Mew?“ 524;; x, a ‘W i’" {a / J {mg/jiﬁ ‘1"? X {Millwifﬁm :47 ii} K x f t; g (2“ I :1; . x — 2x2 —— 3 (0) 11m functions. a" (grayrx - 1”” 232‘ I ("mix a ? i; i i «4, *“”“‘:‘“:'°’”‘ '- KW" “:Wwi‘?‘ ~62 G 5‘: fife) 4: L i A ’1 IF 3 M R71. ‘ 1 1M wmmmmn ~w Page 2 2008—11—6 2. [4 pts each]. Find indeﬁnite integrals. (a) [ow ” + 3x2 — 2)dx A ‘v‘ '1: ' . i 2/5 ::> i 7’ 3»: ‘ - , ~ ‘ » , A . if, M M ‘i :3“ is m,» 2x: x «+ ,q 1+ 2x, w“ ,2 3:; «S it? «UAW ’ i 4 M4; ' - w, m r ¥ “ i i f I ““ M w Y " x 5 " I“ V em. J m ‘ «1 f M w a“ “2 '3 ‘" a" o I] 7 {L ’f - u a“, L k I K“ .3 :1 if {J r t i ' t « ,, , ‘ M ,i r» f H; 2:; \$350!; > it?! “1 3“ 5 f “5/1"? erg 5, ~ » ‘ -~~ {J 5W, we feérif : x} e‘ w- {98‘ d ,, i . 3. [8 pts]. Solve initial value problem: 2:: = cos(7l' - x), y(0) = 1 . i4? (1. \» i X r» M f {I if If my} \i ’“~ x" ‘1 \ W x! 3 ~ ‘ m a ,f e 3 5” ’1 B‘ K i1: «is *5 if < %” “ta; 5.! {I i 9 4. wk L t Mi“ 3 x * 1V, 1 1 4. [iOptS]. Letf(x) = x+—, [5,2]. x (a) Show that f(x) satisﬁes the hypotheses of the Mean Value, Theorem over the given interval. ; i’ ’1 ﬂ if! g s f 5' x " ,r ~ , 1 Es» .5; d'gﬁuf» Page 3 2008-11-6 f(b)-f(a) b—a (13) Find C which satisﬁes the equation of the Mean Value Theorem: — ' ’ on i —f(6)a [222} Mi: ~ M gi’j} ,iMMmrwmmmnwﬁfm-Amé-v _ “M, {v}! Wm #2 _ I) 5 [1219123]. Letf(x) Zzg—E? (Note that fv(x) : (x “.6333 and fu(x) = ) (a) Find the intervals where f is increasing or decreasing. <3 5 3;” We JV {i i {:75} I x (b) Find the intervals where f is concave up or concave down. 77> 5:? '?L f ix; ’31 ““' “7"” (d) Find the equations of all asymptotes. V'a»«““‘f‘f(‘cxz€: Sigifwﬂ’i’iv 7" g , ii ----- '~ “Q” ’5’"? 2 M '3 if” Cw ,I’ r :2 Page 4 2008—11-6 6 [10 pts]. A rectangular bOX With volume 18 cubic meters is to be built with a square base and NO top. The material used for the bottom panel costs \$2 per square meter While the material used for the side panels costs \$1.5 per square meter. Find the minimum cost to build such a box. 33mm w a», xi“ ~ A T3517 g '1 "‘, \ .MM » {e A 5“ 7. [10 pts]. Use Newton’s Method to approximate «I 15 . (a) Construct a function f (x) such than/lg is a root 0ff(x) = 0 wan. 9» "fr ; “.v. ‘ l 3' t (Z V ‘ " L w “ " i 54:? f L: v: if A [79“ 5‘ aw“) i' e’ v I, If") ‘ f - r“ i '4 p 9”" WM ‘- w rs, A» 1 W“ W pl M N t ’ e’ i A“; f .1}; Q ,t; K ,2 >6 ; f a :; ‘)< w w - mmmwﬁw «M w : a J i :3 ‘5 x L 1 X f m vi; W ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern