# 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

### Math 148R8

Course: MATH 148, Spring 2011
School: Texas A&M
Rating:

Word Count: 264

#### Document Preview

148 Texas Math A &amp; M University Assignment # 8 Spring 2012 Instructions: (a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with some written indication of your thoughts. (c) Please put a box around your final answer. 1. [12 points] Let a, b and c be arbitrary n-dimensional vectors. Which of the following expressions are meaningful? Which are...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Texas >> Texas A&M >> MATH 148

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.
148 Texas Math A & M University Assignment # 8 Spring 2012 Instructions: (a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with some written indication of your thoughts. (c) Please put a box around your final answer. 1. [12 points] Let a, b and c be arbitrary n-dimensional vectors. Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a b) c (b) (a b) c (c) |a| (b c) (d) a (b + c) (e) a b + c (f) |a| (b +c) 2. [20 points] Find a b. (a) |a| = 3, |b| = 6 , the angle between and be is 45 degrees. (b) a = 2,3 , b = 0.7,1.2 (c) a = 6,2,3 , b = 2,5,1 (d) a = 3i + 2 j k , b = 4i + 5k 1 3. [10 points] Find the acute angle between the lines 2x-y = 3 and 3x + y =7. 4. [18 points] Determine whether each statement true is or false. Justify your answer. (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. 2 5. [20 points] Find a vector equation and parametric equations for the line through the point 2 (6, -5, 2) and parallel to the vector 1,3, . 3 6. [20 points] Find an equation of the plane that passes through the point (6, 0, - 2) and contains the line x = 4 2t, y = 3 + 5t, z = 7 + 4t. 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:

Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityAssignment # 9Spring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is onlypossible with some written indication of your thoughts. (c) Please put a box around your f
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityAssignment # 10Spring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is onlypossible with some written indication of your thoughts. (c) Please put a box around your
Texas A&M - MATH - 148
Math 148Quiz # 1 Version ATexas A &amp; M UniversitySpring 20121. [80 points] Evaluate the following integrals.a)x3 (2 + x4 )5 dxb)sin xdx1 + cos2 xc)ecos x sin xdx1d)0dx(1 + x)4192. [20 points] Using integration by parts, evaluate42ln
Texas A&M - MATH - 148
Math 148Quiz # 1 Version BTexas A &amp; M UniversitySpring 20121. [80 points] Evaluate the following integrals.exa)dxex + 1b)xdx1 + x4c)sin x cos4 xdxe4d)edxx ln x112. [20 points] Using integration by parts, evaluate02ydy.e2y
Texas A&M - MATH - 148
Math 148Quiz # 2 Version ATexas A &amp; M UniversitySpring 20121. [20 points] Use integration by parts to evaluate2. [40 points] Evaluate5x + 1dx.(2x + 1)(x 1)1 cos d.3. [40 points] Determine whether the following improper integrals are Type1 or T
Texas A&M - MATH - 148
Math 148Quiz #2 Version BTexas A &amp; M UniversitySpring 20121. [20 points] Use integration by parts to evaluate12. [40 points] Evaluate0x2x4dx. 5x + 61x cos(5x)dx.3. [40 points] Determine whether the following improper integrals are Type1 or
Texas A&M - MATH - 148
Math 148Quiz #3 Version ATexas A &amp; M UniversitySpring 20121. Let f (x) = (x 1)2 , g (x) = e2x and h(x) = 1 + ln(1 2x).a ) [30 points] Find linear approximations of f, g, and h at a = 0. Whatdo you notice? How do you explain what happend?b ) [40 poi
Texas A&M - MATH - 148
Math 148Quiz #3 Version BTexas A &amp; M UniversitySpring 20121. [30 points] Find the 6th-degree Taylor polynomial T6 centered at a = 0for the function f (x) = cosx. Graph f (x) together with T6 in the viewingxy-rectangle [5, 5] by [1.4, 1.4].12. Let
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 4Spring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be shared. (d) P
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 5 Version ASpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 5 Version BSpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 6 Version ASpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 6 Version BSpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 7 Version ASpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is onlypossible with some written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Texas A &amp; M UniversityQuiz # 7 Version BSpring 2012Instructions:(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible withsome written indication of your thoughts. (c) Calculators may not be sha
Texas A&M - MATH - 148
Math 148Assignment # 1Texas A &amp; M UniversitySpring 20121. [40 points] Evaluate the following indenite integrals.a ) 3x2 x3 5dxb)cos(6x2 3x)(4x 1)dxc)3t2 1dtt3 td)tan tdt12. [60 points] Let u(a) be the current population density of a single
Texas A&M - MATH - 148
Math 148Assignment # 2Texas A &amp; M UniversitySpring 201221. [10 points] Evaluate(x + 3) 4 x2 .22. [15 points] A bacteria population starts with 400 bacteria and grows ata rate of r(t) = 450.268e1.12567t bacteria per hour. Assuming no mortality,co
Texas A&M - MATH - 148
Math 148Assignment # 3Texas A &amp; M UniversitySpring 20121. [20 points] Use integration by parts to evaluatearctan(4t)dt.2. [20 points] Write out the form of the partial fraction expansion of thefunction. Do not determine the numerical values of the
Texas A&M - MATH - 148
Math 148Assignment # 4Texas A &amp; M UniversitySpring 20121. [20 points] The following table shows the population of Nepal (in millions)as of June 30 of the given year. Use a linear approximation to estimate thepopulation at midyear in 1989. Use anothe
Texas A&M - MATH - 148
Math 148Assignment # 5Texas A &amp; M UniversitySpring 20121. [30 points] Solve the following initial value problems.a )y =b)2 cos 2x, y (0) = 03 + 2ydT= 2(100 T ), T (0) = 100dtc ) y = t3 (1 y ), y (0) = 312. [50 points] Find and classify the
Texas A&M - MATH - 172
Math 172 Section 503Homework 1Due Jan. 24Texas A &amp; M UniversitySpring 2012Instructions1. Mark the correct choice on your ScanTron form using a No. 2 pencil.2. Be sure to write your name, section number, and Homework number on your ScanTron.14.15.
Texas A&M - MATH - 172
Math 172 Section 503Homework 2Due Jan. 31Texas A &amp; M UniversitySpring 201212312.13.14.15.16.417.18.19.20.521.22.23.624.25.27.728.29.30.831.32.933.34.35.36.1037.38.39.1140.41.42.1243.44.45.1346.47.48.49
Texas A&M - MATH - 172
Math 172Quiz # 1Texas A &amp; M UniversitySpring 20121. [15 points] Use the Fundamental Theorem of Calculus part 1 (FTC1) tox2 nd the derivative of h(x) =1 + r3 dr02. [15 points] Use FTC2 to nd a function f such that f (1) = 0 and f (x) =2x /x.3. [
Texas A&M - MATH - 172
Math 172Quiz # 2Texas A &amp; M UniversitySpring 20121. [30 points] Sketch the region enclosed by the given curves. Decide whetherto integrate with respect to x or y . Draw a typical approximating rectangleand label its height and width. Then nd the are
Texas A&M - MATH - 172
Math 172Quiz # 3Texas A &amp; M UniversitySpring 20121. Evaluate the following integrals.a (10 points)sin3 (mx)dxb (10 points)tan3 x sec xdx1c (15 points)9 x2dxx2d (15 points)x2 1dxx42e (15 points)x21dxx2 + 42. Write out the form of th
Texas A&M - MATH - 172
Math 172Quiz # 4Texas A &amp; M UniversitySpring 20121. [30 points] Solve the following initial value problems.a )y =b)2 cos 2x, y (0) = 03 + 2ydT= 2(100 T ), T (0) = 100dt1c ) y = t3 (1 y ), y (0) = 32. [40 points] Find and classify the equili
Texas A&M - MATH - 172
Math 172Quiz # 5Texas A &amp; M UniversitySpring 20121. A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene withdensity 820 kg/m3 to a depth of 1.5 m. Finda ) [5 points] the hydrostatic pressure on the bottom of the tankb ) [5 points] the hyd
Texas A&M - MATH - 172
Math 172Quiz # 6Texas A &amp; M UniversitySpring 20121. Determine whether the sequence converges or diverges. If it converges,nd the limit.a ) [8 points] an =(1)n nn2 + 1b ) [8 points] an =en + ene2n 1c ) [12 points] cfw_0, 1, 0, 0, 1, 0, 0, 0, 1,
Georgia Tech - CHBE - 2100
Name_ChBE 2100Experiment #1Due: Mon., Jan. 30Please follow the reporting guidelines outlined in the syllabus. Sign the Honor Code and use this page asa coversheet for your report.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Experiment #2Due: Mon., Feb.20Please follow the reporting guidelines outlined in the syllabus. Sign the Honor Code and use this page asa coversheet for your report.Honor Code:I commit to uphold the ideals of honor and integrity by ref
Georgia Tech - CHBE - 2100
Name_ChBE 2100Experiment #3Due: Mon., Mar. 30Please follow the reporting guidelines outlined in the syllabus. Sign the Honor Code and use this page asa coversheet for your report.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Experiment #4Due: Fri., April 6Please follow the reporting guidelines outlined in the syllabus. Sign the Honor Code and use this page asa coversheet for your report.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Experiment #5Due: Mon., April 23Please follow the reporting guidelines outlined in the syllabus. Sign the Honor Code and use this page asa coversheet for your report.Honor Code:I commit to uphold the ideals of honor and integrity by r
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #1Due: Fri., Jan. 20Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #2Due Fri., Jan. 27Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by ref
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #3Due Friday, Feb. 3Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #4Due Fri., Feb. 17Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by ref
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #5Due Fri., Feb.29Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by refu
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #6Due Wed., Mar 14Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by refu
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #7Due Fri., Mar 30Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by refu
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #8Due Fri., April 13Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideals of honor and integrity by re
Georgia Tech - CHBE - 2100
Name_ChBE 2100Homework #9Due Fri., April 20Accepted until Mon., April 23Please follow the homework guidelines outlined in the syllabus. Sign the Honor Code and use this pageas a coversheet for your solutions.Honor Code:I commit to uphold the ideal
Georgia Tech - CHBE - 2100
ChBE 2110 Example Problems 3/30/20121.2. Water from a reservoir passes a dam through a turbine and discharges from a 70-cm ID pipe ata point 65 m below the reservoir surface. The turbine delivers 0.80 MW. Calculate the requiredflow rate of water in m3
Georgia Tech - BIOL - 1510
Biology 1510B Fall 2011Instructors Chrissy Spencer (Modules 1-2)Jennifer Leavey (Modules 3-5)Cara Gormally (Laboratories)Shandra Justicia (Recitation TA)Recitations:Thursdays, 6-7, Clough 152 in weeks w/o examsBegin 2nd week of classT-Squaret-sq
Georgia Tech - BIOL - 1510
02 What is science?BIOL 1510 F11 LectureDr. Chrissy Spencer12Announcements Register your clicker! FIRST create a Mastering Biology account,THEN sign-up for our course. IFF you have previously purchased amastering biology account for another cour
Georgia Tech - BIOL - 1510
03 An evolutionary framework forbiology What is life? What is evolution? Three pieces of evidence for evolution1How does a scientific theory differ from ascientific hypothesis?A) A theory is an explanation for a very generalphenomenon or observat
Georgia Tech - BIOL - 1510
04 Earth HistoryMajor divisions of timeStratigraphy &amp; Dating methodsPaleomagnetism &amp; Continental movementClimate and OxygenRecitation TA: Shandra Justiciaemail: shandra.justicia@gatech.eduOffice hours:M 10-11 am and W 2-3 pm1Major divisions of ti
Georgia Tech - BIOL - 1510
04 BIOL 1510 Radiometric Dating ActivityFor this activity, you should have completed the reading for Lecture 04.Refer to Freeman Figures 27.8-9 (or Campbell Table 25.1) as necessary.PART AThe Bearpaw Formation is a region of sedimentary rocks in weste
Georgia Tech - BIOL - 1510
04 Earth HistoryMajor divisions of timeStratigraphy &amp; Dating methodsPaleomagnetism &amp; Continental movementClimate and OxygenLOAD VIDEO on Protocellshttp:/youtu.be/VhUIIONM6A01To consider which radiometric method to use todate this Formation, the b
Georgia Tech - BIOL - 1510
06 Life on EarthFall 2011BIOL 1510Stromatolites (varying evidence of existencebeginning 3.45 BYA or more recently at 2.7 BYA)Campbell 8th, Figure 25.1, www2.fiu.edu/~longoria/gly1101/proterozoic.htmlMicrofossils of bacteria or cyanobacteriafrom sev
Georgia Tech - BIOL - 1510
07 Evolution by natural selectiona) Evolution of evolutionary thoughtb) Evolution by natural selectionc) Common misconceptionsEvolution of evolutionary thoughta) Species are fixed types = immutableb) Species change through time = evolvec) How?inhe
Georgia Tech - BIOL - 1510
BIOL 1510 S12 Quiz 1Version 1 and 2Student Name _Instructions: Record the best answer for each question. You will submit your answers using twomethods: On the exam paper, write the correct answer in a BLOCK CAPITAL letter in ink next tothe question
Georgia Tech - BIOL - 1510
BIOL 1510 S12 Case Study Evolution by Natural Selection1/26/12Case Study: Evolution of coat color in rock pocket mice in the Pinacate lava flowsThe volcanic crater (left) is 1500 m diameter and 100 m from rim to bottom. The dark patches arelava flows
Georgia Tech - BIOL - 1510
08MechanismsofEvolutiona) Mutationgeneratesvariationrequiredbynaturalselectionb) Populationswithvariation(mutation)canevolvebynaturalselectionCaseStudyIwillposttheseslidesafterclass.ClickerChannel=71Geneticvariationa) Geneticvariationamongindivid
Georgia Tech - BIOL - 1510