Final Review

# Final Review - Vincent(ij777 — FINAL Review w...

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: Vincent (ij777) — FINAL Review w Gilbert "— (57495) 1 This print—out should have 22 questions. Multiplemehoice questions may continue on- the next column or page — ﬁnd ail choices before answering. 001 10.0 points I Use the transformation T = (ua 0) ~+ (it, y) with :1: = 4n ~i— o, ymévmu to evaluate the integral Im/V/waimwdmdy when D is the square with vertices (0,0), (1,4), (5, 3) (4,—1). 1. I m 85 2. I =17 3. I = 16 4. Iwﬁéi 5. I = 68 6. I = 80 002 10.0 points Describe the motion of a particle with posi»« tion P(;I:, y) when a: = 58int, y m Zoost as t varies in the interval 0 S t S 271'. 1. Moves along the iine __ nml 5+2 ’ starting at (5, 0) and ending at (0, 2). 2. Moves once counterclockvVise along the ellipse (War we2 = 1, starting and ending at (0, 2). 3. Moves along the line a: yw 5+2WI’ starting at (0, 2) and ending at (5, 0). 4. Moves once clockwise along the ellipse 2 2 9:491:15 25 4 starting and ending at (E), 2). 5. Moves once clockwise along the ellipse (5:02 + (2102' m 1, starting and ending at (0, 2). 6. Moves once counterclockwise along the ellipse 2 2 e. in I 1, 25 4 starting and ending at (0, 2). 003 10.0 points d2 Find 33% for the curve given parametricaliy by :1;(t) : 4+9, 31(13): 29w? 1 its m 3': c5222 at 2 z e ‘ 053:2 3 3 its : 3': . (£332 316 4 die m .9: (1322 2t 5_ @321 m Which of the following expressions are well— vinoent Univ???) m FINAL Review — Gilbert ~' (57495) 3 007 10.0 points 7’. none of them 8. I and III only deﬁned for all vectors a, b, c, and d? I. II a><(b-c), III (a-b)>< (c-d). 1. Which of the following statements are true for 009 10.0 points lal><(b><<=), A line 2 passes through the point P(2, l, 3) and is pazallel to the vector ( 1, 4, 3 III only pl 8:: f:rvhet point Q does 8 intersect the my— Ianci III only 1, Q(—3, 1, 0) land II only 2. Q(0, 5, 3) II only 3. Q(3, 5, 0) II and III only 4, Q(0, 3, —3) Ionly 5. Q(0,1,5) all of them 6. Q(1, ~3, 0) none of them 010 10.0 points 008 10.0 points The curve of intersection of the surfaces shown in all lines and planes in 3—speoe? 1. two lines perpendicular to a third line are parallel, II. two planes perpendicular to a third plane are parallel, III. two lines parallel to a plane are parallel. 1. all of them II and III only I and II only II only III only I only Vincent (jmv???) w FINAL Review w Gilbert m (57495) 5 at the point PG), 2). 017 10.0 points 1. max slope m: 47? Find the maximum volume, me} for a 8 rectangular solid in the ﬁrst octant with one vertex at the origin and one on the plane I! 2. max slope 3. max slope m 271' 33 y Z 6— + + a = 1. 4. max slope m 2 8 5. max slope 2 8n 1. Vmw = 3); cu. units 6' max SlOpe = 7r 2.1/me m 3 cu. units 7’. mexslope x E 26 3. me : m cu. units 8. max Slope = 4 9 25 . 016 10.0 points 4- Vmax m 3 cu.-un1ts A rectangular box 28 - , i , n 5. Vmw = 3; cu. units 018 10.0 points Reverse the order of integration in the inte- gral 4 1 ‘ I =/ / ﬂwayldy dx, 3 «5/2 with no top is to be constructed having a but make no attempt to evaluate either 1nte~ volume of cubic inches. What width 3:, in gml' inches, will minimize the amount of materiai 1 4y2 to be used in its construction. (Assume no 1_ I m f / ﬂag, y) arm dy material is wasted.) «5/2 3 . . J37? 4x2 1. Wldth = 41IlChGS 2' 2 f f d2; 0 3 2. width W Zinches 1 3 3- I e f ( H31, yldw) dy \fé/ra 2y? 3. width m 5 inches «3/2 2 4. I m f ( ﬂan, y) alas) dy G 4. wisth 992 H 3 inches . 2 ‘1 2y 5.! = / / f(3:,y)dz dy "5. width 1 inches _ Jig/2 3 Vincent (jmv???) — FINAL Review -~ Gilbert w (57495) is the unit cube having one corner at the origin and the coordinate planes for three of its feces. Find the cosine of the angle 6 between DA and DC. 1 1. = w 0036 2 "I 2. cost} m [3% 2 - 1 3. c039 m —— \/§ 1 4. cost? m e \/2_ 5. cost? = 0 2 6. 6 m —— cos 3 ...
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