{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Sol-166E1-S2000

# Sol-166E1-S2000 - MA 166 EXAM 1 I Spring 2000 Page 1/5 NAME...

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: MA 166 EXAM 1 I Spring 2000 Page 1/5 NAME Gene we. KEV STUDENT ID RECITATION INSTRUCTOR RECITATION TIME DIRECTIONS 1. Write your name, student ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, 4 and 5. . The test has ﬁve (5) pages, including this one. . Write your answers in the boxes provided. 4. You must show sufﬁcient work to justify all answers. Correct answers with inconsistent work may not be given credit. 5. Credit for each problem is given in parentheses in the left hand margin. 6. No books, notes or calculators may be used on this test. 0310 —a —o (5) 1. Let (I = ;+ ' and b = —I+ 1:}. Find a: so that (1' is perpendicular to Ei— Ii. “M -' , "“1" 73, —-\o :2: Zi 4'31“) a Quit—"IO m“=9 Q+CLHXZO ”'3 7(3—* .2 WEI .._’y (10) 2. If P = (1,2,3), Q = (—1,0, 1) and R = (1,1,0), ﬁnd prﬁéPR. PG 2.— - “2."? ~-“2§ -— ”-5 FR .- ~i—[email protected] ~ a P" - . {51% 2 Po. -’ FEW. Po.- __._ P G ' " MA 166 Exam 1 Spring 2000 Name _— Page 2/5 (5) 3. Let (I : 3;- 23 and 3: (s — t);+ t}. Find 3 and t so that Ei+3m 5+ 3. b 1(3+e,_t)|_ +0923 (1+ 3+!“ '1‘“ _. , g+%-t:4.) f-t'Z‘: (4) 4. Let 5 and Ebe unit vectors and let 0 be the angle between (i and 3. For what value of 9 in [0, 7r] is (1' - b maximum? in”. uni—"P aio :Cpse W <3; mgei‘ri “9:0 NFC -EB (10) 5. Let a: 3— 35+ 2% and (3': —2i'+3'— 512. (a) Find a vector perpendicular to both (1' and b. T T T; cieT+i—5L< :3 ’2— ‘1 C534 1-5 __’ --4 axb (b) Find a unit vector perpendicular to both E and 3 and having positive 1; component. H13 T-i-riﬁg-‘zll '17 W Oh (/ cons/51cm! Mun Wm“: Chitin-W IV? (a) . (10) (14) MA 166 Exam 1 Spring 2000 Name _ Page 3/5 6. The points Q = (1, 0,0) and R = (—1, 0,0) lie on the unit sphere 9:2 + y2 + 22 = 1. —> —> If P = (:r, y, z) is any other point on this sphere, prove that the vectors QP and RP are perpendicular. QP: {x m +jd+3E @ RP:(X4’1)L+UJA +2Lﬁ- @ ' Q P .L R P 7. Find the following limits: H /"””ﬂm TM;‘\ J I... H @W , . - 1 L . -— ’5 :1 h 4 X r” (a) lim M1“ m ___ {1m ...‘?me.3x z—rD x O 2 X _._ 2- o x " x40 ‘5' Q. 0 - MJ 1°“ XH‘” _' [”7" "‘""@M# LH “L ’l .1.2 Qm *“(1'%)=Lf; ﬁnals): Mm E.) x—JOO 0041} x ~ .4;— x-'*°° '1‘?” _ mm M; M (PW: 6’1 @ -m‘gt {—«av mt'esr'wb Aux 0*" in 33 MA 166 Exam 1 Spring 2000 Name _________ Page 4/5 (24) 8. Evaluate the integrals: F‘Qﬂ: -.\ Fﬁ[email protected] M w. (a) fxsin(3x)dm "—”'“""' ———gxc,os(37) ‘1‘"‘3 [MSBZ)A%‘ :2. LAT—=7 dVUZ‘SIHGXF-lw "" mini ‘ .,__,~_._ "—- —-w-—-—w—"”‘"""H 'F ® #Jéwma©x)+{§ Sinfiﬂq—C E] r; \ MQWWW b)/mlnmdx :1 9%...an “fozidfx '2 7r LL‘JMX druz‘ni'r quﬂ‘ i \ ~— -— , "7r dA:%—tix @235; "’7 u 25x0 2 2 2 war:- + c LWm_W______WW _ 0 J @3 Z. ﬁﬂ/nw —~— 34- + C E3 ﬁ[email protected]—“ ""\ 3 -2 ' - ‘ (c) fcos msm 3:111: :12 (1—Sln2x) SHnQX wst'R’ 1 O,( 6) /”’ W — K‘Nm: {Kiwjfl dazcnsﬁrd’x / M. "—3 [(43-43) ”1% '3 “WM; : 3H7 )f__ SW) >r +_C "is S % T!— (d)/ coszmda: —_: "If" m . f1, 0 d)”: 3—- ‘x + istxy4~ "} Z .4.»- _,_—-+-—-va‘aI-T 1£+\$~ " '8 Ar ’2 a [email protected] MA 166 Exam 1 Spring 2000 Name —._._._._ Page 5/5 (18) 9. Evaluate the integrals. PARTIAL CREDIT will not be given unless steps are clearly shown. 1 3 d3: ZS — 9' 3 (Lu ._ <9 ‘2’?) (\1'9’37 x ”7; “film; ﬁx x333inm elk: BmsudJ-A @ 9.1“ 9.47" :BmSLL @ / \ — a gw’ilau = Lta/nu +C _. 0/ 4 ’1. W 7: ——~ + C 9.77. @ SHL— Ci)! 2: —J-—- mozuw 1: (launch. I 4— 7-1 \ie f; .ﬂwmﬂx ,1 .4 : blacu-I—tmﬂul‘VC CD :Qh‘JH-x‘ +Xl “PC ®F S" :frcix -_: Lanr+xZ +rﬂ¥lilﬁ ‘ IE r “5 1 d C b d Y d :1 t 0/, () 1 \/1+—332 :1: [oumaynee :l/fsemtm nsecm+ an\$|+ ]. gﬁ Jﬁ ’1 30¢ a sac ?&.L3.J~L: 1 W gﬁ/a‘ seen (a, mztcuw» CL'X'; sacuAA a: a X “-qu _: 942C“ 4 IE E 2 [24‘3ch mam? ———Qm)326,‘—f +1W§l TQMIQ-l-Gl‘imlﬁ +1‘l Rm 2+5; @Z—f \F ..._. '3 “ «2+1 0%: (El ...
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