Sol-261E1-S98

Sol-261E1-S98 - MA 261 EXAM I Spring 1998 Page 1/6 SOL/Tim...

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Unformatted text preview: MA 261 EXAM I Spring 1998 Page 1/6 SOL/Tim STUDENTHD# NAME INSTRUCTOR INSTRUCTIONS 1. There are 6 different test pages (including this cover page). Make sure you have a complete test. 2. Fill in the above items in print. I.D.# is your 9 digit ID (probably your social security number). Also write your name at the top of pages 2—6. ‘ 3. Do any necessary work for each problem on the space provided or on the back of the pages of this test booklet. Circle your answers in this test booklet. No partial credit will be given but the work on the test booklet may be used in borderline cases. 4. No books, notes or calculators may be used on this exam. 5. Each problem is worth 10 points. The maximum possible score is 100 points. 6. Using a #2 pencil, fill in each of the following items on your answer sheet: (a) On the top left side, write your name (last name, first name), and fill in the little circles. i (b) On the bottom left side, under SECTION, write in your division and section number and fill in the little circles. (For example, for division 9 section 1, write 0901. For example, for division 38 section 2, write 3802). (c) On the bottom, under STUDENT IDENTIFICATION NUMBER, write in your student ID number, and fill in the little circles. (d) Using a #2 pencil, put your answers to questions 1~10 on your answer sheet by filling in the circle of the letter of your response. Double check that you have filled in the circles you intended. If more than one circle is filled in for any question, your response will be considered incorrect. Use a #2 pencil. (e) Sign your answer sheet. 7. After you have finished the exam, hand in your answer sheet and your test booklet to your instructor. ' MA 261 EXAM I Spring 1998 Name: —__—_ Page 2/6 1. The angle between the vectors and — 1);+ + is: A A «A A A A U: “*3 W=tfi~l>1+ (43%” We: TI": __ (JEL‘xxMNEJr-LXL) F11 .U .0"? MI: cola pub: cnl>i O (31 l? “g; 0‘. : 1 g 6 2. The symmetric equations for a line containing the point (2, —1, 4) and parallel to the linens:1—3t,y=2+12t,z=5are: R’: (2,4,4) A- a C. $+3:y—12:z—5 MA 261 EXAM I Spring 1998 Name: E Page 3/6 3. The equation for the plane containing the lines 50—1 y—2 2+1 x—l z+1_' 3 :TI 2 and 29—2: _11S. A. —5m+7y—102:19 CPO“ (1) 2/A1) B. $+y+z:2 A s A 1; a; A C.2$+y—z:5 N: LIX L 2 l j 2 D. 3$+5y+2z=11 2 3 5 <1» —$+y—z:2 6% “IL MA 261 EXAM I Spring 1998 Name: 5. Find the speed ||e(2)|| Where 5(t) = —1013 and 21(1) = 2— 5+ 12. "54>: «40?: :3 we: AOtZ+€ fi:%+l:= Vfl): —/0?:+ f g. :87 :1) f—§+11?:€ Em 77H): + (ix—{0Q}: Wan: ((1134 an: 1+. M m L; 6. Find the length of the curve F(t) = t25+ 2755+ 1n t]; 1 S t g e. A/ A A e2 ray; J+E+3§+Jg £1 2e+1 e e C. 26—2 :1 a/ a h . D. 2€+2 L 31'" “W (3+): “(if 0’"? E. 1 x I Page 4/6 :8: CW SW Sf 86%?“ I (a: (e1+2me>—(L+M> {cl '2. fl 6 4l~ L”O 7— _.____. EXAM I Name: MA 261 Spring 1998 Page 5/6 7. The intersection of the surface —103:2 + x + 23/2 + 22 = 4 with a plane parallel to the yz—plane is W ll ‘32 Vow ML xzc, o e “’0 C71 c + 231+ 2129/ A. a circle B. a parabola C. a hyperbola a ellipse E. two lines '1— 'L 123 +2 2 4+;0cJL—c 8 Letz=\/:I:2+y2,:z:=uv,y=u2—v2 Findz— +2 3% _<2_Z:§1. Jréfi Q3; . 832%); gig; Emil}: am ax 3%“ 3% 6W ) 3" y av B u2v+2v3 . g3 : xv a 3 2 on g“ 1 4,, C. 2v +uv x «laq- W1 2u3+uv2 a an D. u2_v2 _ »W-wmw.,W~Wm————— w (u>~;£v(u7‘-v'4) : \/ + QuWEx/Q’) _ MA 261 EXAM I Spring 1998 Name: Page 6/6 . . . . d 9. Suppose that V3333; + 1172312 2 10 imp11c1t1y defines y as a function of 11:. Find i din. ><33+ X251: (00 33623; + 2x312 1 IL A. 2x/x3y + 322342 a 33023; + 2:103;2 373 + 2:323; :- — x3 — 3273/2 d X D 1733; + 23:23; ' 33021; + 2xy2 l 1 E. 11:21; + 2173/2 — 10 -,-_-._~ _.__ 3x a + 2X 8} 7&3 + qu"& 2 3 10. The directional derivative at (—1,1) of f (at, y) = 6_%—_%‘ in the direction of —>s—»i3 Pix}, 3 _§ VSLL 'xe 7' 3 FF+<~BQ€ 7' %);A i6 6 B -— a. wig We»): 6&4; 3 A A —%66 14:0! A,(af‘+—>> D2eé ’2': ’ x - 6 a E _§f+%e—%j Digm)”: VWCHH)' 3: 5 :: .L — “’2 s%i__ ~—3 P? E oh —6 j~ ’— 6: ...
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Sol-261E1-S98 - MA 261 EXAM I Spring 1998 Page 1/6 SOL/Tim...

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