# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

3 Pages

### HWpart2ans

Course: MAC 2313, Spring 2012
School: University of Florida
Rating:

Word Count: 685

#### Document Preview

2313 MAC HW Problems Part 2 Answers Section 91 A. p.173 (1) dz = dt 1 1+x2 +2y 2 6xt2 + 2y t (2) z = ex (y cos(xy ) sin(xy )) t + xex cos(xy ) s2s+t2 ; s z = ex (y cos(xy ) sin(xy )) s + xex cos(xy ) s2t+t2 t z z z (4) u = 23, v = 32, and w = 39 (5) Note: the problem should state when (u, v, w) = (1/3, 2, 0). f = 18fx (4, 0, 1), u f f 2 = fy (4, 0, 1), and w = fx (4, 0, 1) + 3 fy (4, 0, 1) + fz (4, 0, 1) v...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Florida >> University of Florida >> MAC 2313

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
2313 MAC HW Problems Part 2 Answers Section 91 A. p.173 (1) dz = dt 1 1+x2 +2y 2 6xt2 + 2y t (2) z = ex (y cos(xy ) sin(xy )) t + xex cos(xy ) s2s+t2 ; s z = ex (y cos(xy ) sin(xy )) s + xex cos(xy ) s2t+t2 t z z z (4) u = 23, v = 32, and w = 39 (5) Note: the problem should state when (u, v, w) = (1/3, 2, 0). f = 18fx (4, 0, 1), u f f 2 = fy (4, 0, 1), and w = fx (4, 0, 1) + 3 fy (4, 0, 1) + fz (4, 0, 1) v (6) OMIT this problem 9 (7) temperature is rising by 2 degrees Celsius/sec as the insect ies through the point (2, 6, 8) (8) fu = 2a + 2b + 3c, fv = 2a 2b + c, fw = b + c (9) 6, 10, and 0. B. C. F z = Fx and y = F y , where F (x, y, z ) = arctan(x, y, z ) + x2 + y 2 xz + yz , Fz z y z z Fx = 1+(yz )2 + 2x 2xz+yz , Fy = 1+(xz )2 + 2y 2xz+yz , and Fz = 1+(xy )2 2x++yz . xyz xyz xyz xz z x w t = 4s2 t + 4t3 and w s = 4st2 + 4s3 . D. gu (0, 0) = 2; gv (0, 0) = 5 E. z z 1 z z 1 = =; = = . x 1+z 2 y y (1 + z ) 2 F. Use the previous problem, dz = 1 3/2 = 1/2. dt dz dt = z dx x dt + z dy y dt = z x 1+z + z y y (1+z ) . z = 1 when t = 0, so Section 92 A. (1) (i) df = 2xy 2 sin(x2 y )dx + [cos(x2 y ) x2 y sin(x2 y )]dy ] (ii) df = (1 + y 2 zexyz )dx + (z + xyzexyz + exyz )dy + (y + xy 2 exyz )dz x (iii) df = m 2 j 2 dxj j =1 ar (5) 30 m2 . Relative error is 99.4% accurate. B. 30 5000 = .006 = 0.6% so accuracy of the approximation is 675 4 Section 93 A. p. 191 (2) (i) 46, < 1, 3, 6 >, (ii) 60 away from f , (iii) 13/3 (4) f changes faster at P0 in the direction of P2 . The direction of greatest increase at P0 is (1, 1/2, 1/2) (5) (i) 2, (ii) 1, (iii) /4 (6) 2x 4y 6z = 10 (7) towards the cave *see class notes 1 (8) 2x0 (x x0 ) + 2y0 (y y0 ) 8z0 (z z0 ) = 0 (10) at the point (2, 3, 1), re the laser in the direction C =< 4, 12, 6 > and escape in the direction C =< 4, 12, 6 > (14) G =< 1, 3, 1 > *see class notes Section 94 A. p. 200 (1) (ii) four critical points (1, 1), (1, 1), (1, 1), (1, 1) are all local minimums (iv) saddles at (2k, 0) and local minimums at ( + 2k, 0), k = . . . , 1, 0, 1, . . . (vi) saddle at (0, 0) and local minimum at (2/3, 2/3) (viii) local minimum at (1, 1) (x) points critical (/2 + k, /2 + k ), (/6 + 2k, /6 + 2k ), (5/6 + 2k, 5/6 + 2k ), (/2 + k, 3/2 k ) (xii) (0, 0) is a saddle, (1/4, 1/2) is a local maximum B. This exercise p. 200 (2) relates the Second Derivative Test in our textbook to the one in the Stewart text, it is not necessary to do this exercise so I will list this as an optional exercise. Section 95 A. (4) (i) D is the triangle with vertices (0, 0), (1, 2), and(4, 2), on the closed and bounded set D, the absolute maximum value is 3 and occurs at (4, 2), the absolute minimum value is 3 and occurs at (1, 2) (ii) the absolute maximum value is 8 and occurs at (1, 2), (1, 2), the absolute minimum value is 1 and occurs at (0, 0) (iii) the absolute maximum value is 4 and occurs at ( 2, 2), the absolute minimum value is 0 and occurs on the boundary where x = 0, y = 0 (5) (4/3, 7/3, 8/3) 1 2 3 (6) the points ( 1 , 1 , 1+ ) where = 73 5 2 B. x = 4 3 15, y = 4 3 15, z = 2 3 15 C. x = 4, y = 2, z = 8, minimum cost is \$192 Section 96 A. (1) max, min values are (i)4, 4, (iii) 5, 5, (v) (4) x = c/3, y = c/3, z = c/3 2 , 2 3 3 B. Use the Lagrange multiplier method to answer questions (6), B., and C. in Section 95 Section 97 A. (1) (i) k (b a)(d c) , (ii) k1 + k2 (2) (i) 28 (3) (i) k 2 (ii) 23 (iv) k2a (v) 12 2 Section 98 A. (1) (i) k (16 ), (ii) 3 , (iii) 6 , (iv) 8 3 Section 99 4 A. (1) (i) 4, (iii) 1, (vii) 15 ((2 + e)5/2 35/2 e5/2 + 1) (2) (i) 40, (ii) 16, (iii) 3 (3) 1/4 Section 100 A. (1) (i) 1/24, (ii) 8/3, (iv) 18, (v) 8/5, (vi) 1/3 (2) (i) 1/6, (ii) 148/105, (v) 32 42 2 x2 (3) (i) 1 y f (x, y )dxdy = 1 1 f (x, y )dydx (iii) (v) 3y x 1 1 f (x, y )dydx = 0 y2 f (x, y )dxdy 0 x3 1 ex e1 f (x, y )dydx = 1 ln y f (x, y )dxdy 01 6 6y 3 y /3 f (x, y )dxdy + 3 0 f (x, y )dxdy 00 x2 3 6x = 0 3x f (x, y )dydx (vii) 2 (4)(i)(x, y ) (x, y ) and f (x, y ) = e sin y 3 = f (x, y ) so ex sin y 3 dA = 0 D 1 (iii) 3 ba2 Section 101 A. (1) (i)3/2, (ii) a2 1 (2) (i) 1 (b4 a4 ), (ii) (1 cos a2 ), (iii) 48 (b2 a2 ) 2 , (iv) (a2 b2 + b2 ln b2 a2 ln a2 ) 8 4 (3) (i) 2 (e 1), (ii) 2/3, (iii) 16/9, (iv) 15/4 1 (4) (i) 3/2, (iii) 8 (9 3 2 ) (5) (i) 4/3, (ii) 14/3, (iii) 8 , (v) 3/2 3
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

University of Florida - MAC - 2313
MAC 2313 HW Problems Part 3Section 102A. p. 268 (1), (4), (6), (7) oddSection 103A. p. 280 (1) i, iv, v, viii, (2), (4) iSection 105A. p. 299 (1)Section 104A. p. 291 (1) (ii, iii), (2), (3) (i, iii, iv), (4), (5), (6) odd, (7), (8), (9)1
University of Florida - MAC - 2313
MAC 2313 HW Problems Answers Part 3Section 102A. (1) (i) 11, (ii) e2r , (iii) (u2 + v 2 )(4) (i) D = cfw_(x, y ) | 0 x 1, 0 y 1 x2 , (ii) D = cfw_(x, y ) | 0 x y, 0 y 1,(iii) D = cfw_(x, y ) | 1 x 1, 1 y 1(6) (i) 192, (ii) / 3, (iv) 7 (e1 e1/2 )3(7
University of Florida - MAC - 2313
MAC 2313 Section 3122SyllabusSpring 2012Instructor: Jo Ann LeeOffice: LIT 417Phone: (352) 392-0281 ext 307Email: joann5@ufl.eduWebsite: www.math.ufl.edu/~joann5Class time: Class meets MWRF 6th period (12:50-1:40 pm) in LIT 223Office Hours: (tenta
University of Florida - EMA - 4760
Biomechanics of the Normaland Arthritic Knee ImplantDesignDesignProfessorGaryJ.Miller,Ph.D.UniversityofFloridaandExactech,Inc.Gainesville,Fl.USAGoal of the Presentation: Briefly describe the normal kneesbiomechanical functions as related tomotio
University of Florida - COP - 5725
Database Management Systems (COP 5725)Spring 2012Instructor:Dr. Markus SchneiderTA:Nam NguyenExam 1 SolutionsName:UFID:Email Address:Pledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorized a
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)InstructorDr. Markus SchneiderTANam NguyenExam 2SolutionsName:UFID:Email Address:Pledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorized a
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor: Dr. Markus SchneiderTA: Nam NguyenHomework 2 SolutionsNameUFIDEmail AddressPledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorize
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor: Dr. Markus SchneiderTA: Nam NguyenHomework 3NameUF IdEmail AddressPledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorized aid in
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor: Dr. Markus SchneiderTA: Nam NguyenHomework 3 SolutionsNameUF IdEmail AddressPledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthoriz
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor: Dr. Markus SchneiderTA: Nam NguyenHomework 4NameUF IdEmail AddressPledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorized aid in
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor: Dr. Markus SchneiderTA: Nam NguyenHomework 4 SolutionsNameUF IdEmail AddressPledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthoriz
University of Florida - COP - 5725
Database Management Systems (COP 5725)(Spring 2012)Instructor:Dr. Markus SchneiderTA:Nam NguyenHomework 5Name:UFID:Email Address:Pledge (Must be signed according to UF Honor Code)On my honor, I have neither given nor received unauthorized aid i
University of Florida - COP - 5725
What you should have learned after this lecture . what aggregation functions are grouping in SQLdistinction between upper and lower caseString patterns in SQL are expressed with the aid of the like operator.example: Find all students with names Meier
University of Florida - COP - 5725
What you should have learned after this lecture . sorting in SQL what nested queries are how different kinds of joins can be explicitly expressedexamples (relation lectures extended by the attribute hpw (hours per week) Determine the number of hours
University of Florida - COP - 5725
What you should have learned after this lecture . how to determine whether a given FD is contained in the closure of a set of FDs what a canonical cover of a set of functional dependencies is how a canonical cover is computedContainment of a FD in a c
University of Florida - COP - 5725
What you should have learned after this lecture . what normalization means and how it is done what the benefits and the drawbacks of the normalization process are what the normal forms aredependency preservation goal: All FDs that hold for schema R a
University of Florida - COP - 5725
What you should have learned after this lecture .what the normal forms are The following anomalies can occur:+ insertion anomaly: What do we do with students who do not attend a lecture?+ update anomaly: If a student reaches the next semester, we must
University of Florida - COP - 5725
What you should have learned after this lecture .what the normal forms arefundamentals of database application programmingstep 1: computation of a canonical cover (precomputed) FD 1:cfw_pers-id cfw_name, rank, room, city, street, state FD 2:cfw_roo
University of Florida - COP - 5725
What you should have learned after this lecture .fundamentals of database application programmingPL/SQLexample:/ Creation of a new object of class StatementStatement stmt = con.createStatement();/ Translation of the query and creation of a new objec
University of Florida - COP - 5725
What you should have learned after this lecture . PL/SQL what data integrity means how integrity constraints are expressed in SQL PL/SQL also supports the definition of recordstype person_type is record (name varchar(50), salary int);variable declar
University of Florida - COP - 5725
What you should have learned after this lecture . How integrity constraints are expressed in QBE Why (purely) relational database systems are not sufficient any more What object-relational database systems (ORDBS) are What the benefits of ORDBS are9.
University of Florida - COP - 5725
What you should have learned after this lecture . further concepts of object-relational database systems (ORDBS) what query processing isinsert into company values(XYZ, array[Mall Avenue, Sales Street, Sellers Drive]);Alternatively:insert into compa
University of Florida - COP - 5725
What you should have learned after this lecture .how algebraic optimization is done10.2 Phases of translation/optimizationgoal: syntactical and semantical analysis of the querygiven: query in a relational query language, e.g. SQLstep 1: translation o
University of Florida - COP - 5725
What you should have learned after this lecture .how algebraic optimization is donerule 8: permutation of a selection with a join or a cross product, if it only usesattributes of one of the two operand relations. cfw_ , : F(R1 R2) = F(R1) R2(attr(F)
University of Florida - COP - 5725
10.4 Physical Optimization(We here deal only with some few aspects. This theme is especially a topic of a courseImplementation of Database Systems.)Introduction The physical algebra operators realize/implement the logical operators. A logicaloperator
University of Florida - COP - 3530
cop3530sp12Parameter passingcall by value- appropriate for small objects that should not be altered by the functioncall by constant reference- appropriate for large objects that should not bealtered by the functioncall by reference -appropriate for a
University of Florida - COP - 3530
COP 3530Data Structures &amp; AlgorithmsDiscussion Session 3OutlineInput-output streams in C+Floating point precisionFile manipulationPointers in CVector class in C+Strings in C and C+About meEyup Serdar Ayazayaz@cise.ufl.eduTA Office: E309This
University of Florida - COP - 3530
Copyright 2003 Pearson Education, Inc.Slide 1Chapter 11Strings and VectorsCreated by David Mann, North Idaho CollegeCopyright 2003 Pearson Education, Inc.Slide 2OverviewAn Array Type for Strings (11.1)The Standard string class (11.2)Vectors(11.3
University of Florida - EEL - 4712
University of Florida - EEL - 4712
University of Florida - EEL - 4712
EEL 4712Midterm 2 Spring 2011VERSION 1Name:UFID:Sign your name here if you would like for your test to be returned in class:_IMPORTANT: Please be neat and write (or draw) carefully. If we cannot read it with areasonable effort, it is assumed wron
University of Florida - EEL - 4712
EEL4712Name: Midterm1Spring2012VERSION1UFID: IMPORTANT: Please be neat and write (or draw) carefully. If we cannot read it with areasonable effort, it is assumed wrong. As always, the best answer gets the most points.COVERSHEET:Problem#: Points
University of Florida - EEL - 4712
EEL4712Name: Midterm2Spring2012VERSION1UFID: Signyournamehereifyouwouldlikeforyourtesttobereturnedinclass:_IMPORTANT: Please be neat and write (or draw) carefully. If we cannot read it with areasonable effort, it is assumed wrong. As always, the
University of Florida - EEL - 4712
University of Florida - EEL - 3396
Book sections to be covered in EEL 3396 Spring 2012 during (tentatively):Week 1: Ch 1 superficially, 2.3W2: 2.5 ,3.1.allW3: 3.2. all except 3.2.5W4: 3.3 allW5: 3.4 all, 3.5W6: 4.1, 4.2, 4.3W7: 4.4, except 4.4.5W8: 5.1 superficially, 5.2, 5.3W9: 5
University of Florida - EEL - 3396
Home work assignments in preparation for the weekly Wednesday 10 minute quizzes.Note that you can only work the quiz problem successfully if you have studied theseassignments. Quizzes will be closed book, no notes. Physical constants will be given.The
University of Florida - EEL - 3396
Home work assignments in preparation for the weekly Wednesday 10 minute quizzes.Note that you can only work the quiz problem successfully if you have studied theseassignments. Quizzes will be closed book, no notes. Physical constants will be given.Brin
University of Florida - EEL - 3396
Home work assignments in preparation for the weekly Wednesday 10 minute quizzes.Note that you can only work the quiz problem successfully if you have studied theseassignments. Quizzes will be closed book, no notes. Physical constants will be given.Brin
University of Florida - EEL - 3396
Course Number and TitleEEE 3396- Solid State Electron Devices1. Catalog Description (3 hrs) Introduction to the principles of semiconductorelectron device operation.2. Pre-requisites and Co-requisites EEL 3111 - Circuits I3. Course Objectives: To pre
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
University of Florida - EEL - 3396
Purdue - AAE - 340
Purdue - AAE - 340
C1Moment / Angular MomentumOperate on Law of Motion to obtain relationship between moment andrate of change of angular momentuma pivotal equation inrotational dynamicsDerivationiid r opvdtpiid iv pAdtLaw of Motion:F m iApOperate onthe
Purdue - AAE - 340
D1Integrals of the MotionI. Work and EnergyOperate on Law of MotioniFv m ApiipiipdvmdtiiFvpd1 imvdt 2vpivppivpkinetic energy TiiFdTvTdtpAnother form of Law ofMotionyields one scalardifferential equationIntegr
Purdue - AAE - 340
M1Rigid Bodies Angular MomentumlLaws of Motion:F M i Acmar Momentumid iH qM M qcm i AqdtqDefinitionsnM q j Fjqj 1nidqjH mjdtj 1qiqjDifficulty with applying this to systems of particles: to calculate Hrequires and d dt for every
Purdue - AAE - 340
O1Examplel ircular disk welded to a &quot;massless&quot; shaft.CShaft rotates freely in frictionless bearings at A and B.(Disk remains in a vertical plane.)Point O offset from cm by distance h.arMomentum(1)(2)(3)(4)gDerive EOMDetermine bearing react
Purdue - AAE - 340
AAE 340 Dynamics and VibrationsProblem Set 8Due: 3/9/12Problem 1: The system below consists of two particles of mass m and 2m. They areconnected by a rigid, massless rod of length L; the rod has a pivot point at C. The pivot isconstrained to move ver
Purdue - AAE - 340
AAE 340 Dynamics and VibrationsProblem Sets Format for SubmissionSubmit a professional looking document; include the following elements:1. Statement of the problem in the formGiven:Find:This is not necessarily just repeating the problem statement. R
Purdue - AAE - 340
Purdue - AAE - 340
Purdue - AAE - 340
01316 8924 1 2 7 3 449 72 6 8929 3 3 7 3 92 989 027 3 9
Purdue - AAE - 340
Purdue - AAE - 340