{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Sol-161E3-F2009

# Sol-161E3-F2009 - ﬂ/W‘ﬂ/vt.’ MATH 161 — FALL 2009...

This preview shows pages 1–9. 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 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: ﬂ/W‘ﬂ/vt .’ MATH 161 — FALL 2009 ~ THIRD EXAM — NOVEMBER 2009 TEST NUMBER 01 STUDENT NAME STUDENT ID LECTURE TIME RECITATION INSTRUCTOR RECITATION TIME INSTRUCTIONS 1. Fill in all the information requested above and the version number of the test on your scantron sheet. 2. This booklet contains 14 problems, each worth 7 points. There are two free points. The maximum score is 100 points. 3. For each problem mark your answer on the scantron sheet and also Circle it is this booklet. 4. Work only on the pages of this booklet. 5. Books, notes, calculators are not to be used on this test. 6. At the end turn in your exam and scantron sheet to yOur recitation instructor. (1) The position function of a particle after 13 seconds is given by s = 42252 - 153. After how many seconds is the acceleration, equal to zero? (a)lsec. My: (b)5S€C. (C) 7sec. :5 (—49 (d) 14 sec. (e) 28 sec. (2) A material has a half—life of 12 hours. If initially there are 4 grams of the material, how much is present after 8 hours? (a) 22/8 //%/= @556 (hm/4 W439 :9 lay/£766 (’7 (c) 24/3 (d) 23/2 (e) 8/3 3 (3) Two people start from the same point. One walks east at 4 mi. / hr. and the other walks north at 2 mi. How fast is the distance between them changing after 10 minutes? 1? 1314 X: E. E #M’L PfM7RW/9/M/4 -ﬂm V/A éﬂ/mﬂ'ﬁ/rr‘m } (c) [email protected] mi./hr. A (0/1) 4: Y 0“(—-xl) *4. /cx—//‘“ (d) 6m mi. /hr. 6990) w ~ 55:5;- ; l d’/{/; éfxluﬁ'm [ﬂxgﬁ/V‘Q‘JLQEH: (a) m/2 mi./hr. )4 (b) \/2—0 mi. / hr. « ? T: M 4 14 19 (e) 10¢2‘0 mi./hr. A #6141” /0 WWW .’ X 3;) (DJ 34/50” : 3,, \$5 t 5‘ 1,» may: i «afﬁrm «; 9.420 a: , Ellison ) 77m ‘ (4) A balloon is rising vertically from a point on the ground that is 60 feet from a ground—level observer. If the balloon is rising at a rate of 24 feet / see, how fast is the angle of elevation between the observer and the balloon increasing when this angle is 3—"? ﬁx m 4 I . m L (a) 1/10 radians/sec. D J '0 _- {,0 “ta/érzihglﬁgrj; @ m C ‘1‘} 72?" 20 42/5 60 l (b) 1/15 radians/sec. ‘ wﬁm 6’ 3 77/3) S’é/céi-7o? (c) 3/10 radians/sec. (d) 4«/§ / 15 radians/sec. (e) 8/5 radians/sec. / ('3 IV / (9 “1/2: ~ - 1/? / 7.1 “L, l (a) 3+ 516 X ‘1; t) X "”§)_-“"“3/:? <b> Km 9 (a > 4 #7sz mm, @1537, (0) 4"+93% :7 37f??? :3 1/37 4 3 27% *‘ Am) 1 r g + 3’ “‘7 AM [ﬁn-‘4)» (8) 3 + 2—756 I 3” 3.) 7A “WM” 3 76? K) (6) Let f(x) = x3 — 3:32 + 3. Find all values of cc Where f has a local maximum. (a) a: = 0, x = 2 y _/ :TE/I/kj: ﬁxkﬂéx @9321 :5ng X75/ X53 ,..,.»zi';r7:i¢J/¢/rmx a) y 3 c? 5 (7) Find all open intervals in [0, 27r] Where the function f (t) = sin t-I—cos t is decreasing. ,_/ M quj‘, LL V 71 sew 57 EC, .1— 9/7“ 1r 7/ i)de nL (8) If f is continuous on [5, 7] and differentiable on (5, 7) and its derivative satisﬁes 3 Z f’(w) > 2 for every 1c in the interval (5, 7), we can conclude that f(7)_— f(5) is in the following interval: (80(476) :aW/N) 6’<(‘<7 (b) (3,7) 1 , Q 2‘ (“/60 5 3 K—a (c) (4,61 :3 4 <wg) é é (d)[3,7l ‘ ‘: 15/77) ’“ﬂ/S’) (e) (071] (9) The graph of the ﬁrst derivative of a function f is sketched below. We can con— clude that f is concave upward in the following intervals (a) (0,3) and (5,7) l (b) (2,4) and (6,7) (0) (1,3) and (5,7) (d) (2, 4) and (6,7) (e) (0,2) and (4,6) 3‘0 %”>g) 571 /g{>) (I [4453) (10) If f is a function such that the graph of f’ is as sketched below, we can conclude that the following are local minimum values of f. (a) f(2) and f(8) (b) f (1) and f(5) (0) f0), f(3), f(5) and f(7) . \-9 (d) f(3) and f(9) (e) M) and f(3) , 7 , , \ , , L/ , 3/ v / a) (3/751 \$32 Agiégmign.1.:.4L,...€2;,f 0 f ‘3 6 7 L7. {5/ 4 A ' .x‘“ ).__L, l, *f ,5: , W, ,m J, / J ‘7 4‘ Z0 dim/144m zit/‘1‘" 3 9X I “ﬁr/[i] (l V12 14/; 2/», (11) The limit (a) —1/5 (b) 1/3 @1 (d) 1/4 (6) —1/3 - _ / > , I ,I \ L hm *— ls equad to ‘ ,. "'47; , » L "’f xxx/w I; , mx w/ , Cam, 2%; g) 8% an “(gig/7h ~—- ALF, A/ Xad 6x ( 12) The graph of f = 23:3 + 3502 — 12:13 + 1 looks most like Which of the following? 0‘) w "5 ﬁn m : [9x 4— Q ﬂea ravgimi;—~ 7“?!) L/ f3.) _/2/’Lr*)zi’f ﬂap/awawg’l of" /77 57 ‘1va /; kip [f ¢ . “-7, ...mm.m.~am-«wn-M‘ magma //1, a y 4 7 9 / (13) The point on the line a: /7 Which is Closest to (17 2) is: <a>(1,8> j 1/ WI W77 (1» (~25) " I (CM—1,6) '1‘ (d) (0’ 7) W I m) i/w)‘ (e) (3’10) /’ 2* (MW/W“) / .1 _ \ ‘ D (3"?) " 9* “WM :>~(’x+e‘f) : a (:3 W9») it? a?) he; :f) 1:]:(L‘3)7L7:{ (433;?) l I E (14) The maximum and minimum values of f = 3:2 + 4:1; — 3 on the interval [—3, 3] I are respectively A I /(/>{_ ) f 4/ :‘i 6) ‘Qx, I 73 - ’ ‘9 a («-3, “9/ (b) 18 and —6 T‘““‘“JT“““+ f C é ? t “'3 “A 3 12y) [LO] ! (c) 18 and —7 ’ (d) 24 and —6 (a) 18 and ~5 (e) 24 and ~7 ...
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