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.

2 Pages

practice_2

Course: MATH 10C, Winter 2010
School: UCSD
Rating:

Word Count: 313

Document Preview

Midterm Practice II for Math 10C Disclaimer: There may be problems on the midterm that do not appear on this practice midterm. Conversely, there may be problems on this practice midterm that are not on the midterm. It is highly recommended that you complete the homework problems before taking this practice midterm. Click here for answers. 1. Find an equation of the plane that contains the points (1, 1, 0), (0, 1,...

Register Now

Unformatted Document Excerpt

Coursehero >> California >> UCSD >> MATH 10C

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.
Midterm Practice II for Math 10C Disclaimer: There may be problems on the midterm that do not appear on this practice midterm. Conversely, there may be problems on this practice midterm that are not on the midterm. It is highly recommended that you complete the homework problems before taking this practice midterm. Click here for answers. 1. Find an equation of the plane that contains the points (1, 1, 0), (0, 1, 1), and (2, 0, 1). 2. Let f (x, y ) = ax + by + c be a linear function such that f (1, 2) = 3 and the trace of its graph in the yz -plane is the line z = y + 1. Find a, b, and c. 3. Find the linear function f (x, y ) whose graph is a plane perpendicular to the vector v = 2i + 3j k and its trace in the xz -plane is the line z = 2x + 3. 4. Evaluate the expression a (b c) for a = 2i k , b = 2i, c = j + k . 5. Find the of area the triangle ABC , where A = (1, 0, 0), B = (0, 2, 1), C = (1, 0, 2). 6. Let ABCD be a parallelogram in the 3-space such that AB = i 2j , AD = j + k , and AB + AD = AC . Find the area of ABCD. 7. Assume f (1, 2) = 10, Let g (x, y ) = xf (x, y ) 3xy . (a) Find g (1, 2), gx (1, 2) and gy (1, 2). (b) Estimate g (0.9, 2) and g (1, 2.1). 8. Compute the partial derivatives fx and fy for f (x, y ) = 2xy sin(x2 + y ). 9. Evaluate f (1, 2) and x f (1, 2) y f (1, 2) = 5, x f (1, 2) = 2. y for f (x, y ) = 2x2 3xy + y 2 . Answers 1. x + 2y z = 1. 2. a = 4, b = 1, c = 1. 3. z = 2x + 3y + 3. 4. 2. 5. 5. 6. 6. 7. (a) g (1, 2) = 4, gx (1, 2) = 9, gy (1, 2) = 5; (b) g (0.9, 2) 3.1, g (1, 2.1) 3.5. 8. fx = 2y sin(x2 + y ) + 4x2 y cos(x2 + y ), fy = 2x sin(x2 + y ) + 2xy cos(x2 + y ). 9. f f (1, 2) = 2, (1, 2) = 1. x y
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 Manchester - ECONOMICS - Econ467
Health Economics1 September Marsha Goldfarb 335 PUP/ 3:30-4:30pm TuTh Goldfarb@umbc.edu HEALTH CARE POLICIES: 3 fundamental interest of Health Economists and policy makers o Costs and how to control these costs o Ease and equal access to health care o Qu
Bond College - CS - CS5209
CS3234 Logic and Formal SystemsMidterm Examination Questions 20/09/2007This examination question booklet has 6 pages, including this cover page, and contains 17 questions. Answer all questions. All questions have equal weight.You have 45 minutes to com
Bond College - CS - CS5209
CS3234 Logic and Formal SystemsMidterm Examination Questions 18/09/2008This examination question booklet has 9 pages, including this cover page, and contains 16 questions. Answer all questions. All questions have equal weight.You have 50 minutes to com
Bond College - CS - CS5209
CS3234 Logic and Formal SystemsMidterm Examination Questions 17/09/2009This examination question booklet has 12 pages, including this cover page, and contains 14 questions. Answer all questions. You have 60 minutes to complete the examination. The exami
Michigan - BME - 221
EXAM 1Name:I. Circle ALL correct statements (may be more than 1) (16 pts): 1. Enzymes enhance reaction rates by: c ac, bc, bd are 1 pt. other combinations are 0. a. Shifting the equilibrium constant b. By reducing the free energy change between reactant
Michigan - BME - 221
BME 321Homework 2 (5 pts)Name:1. True or False. State reason if false. (0.5 pts each, 2 pts total) a) In bioprocesses, the bioreactor is typically the most expensive step. False. Often other steps such as purification, packaging, and testing are even m
Michigan - BME - 221
BME 321Homework 4 (7 pts)Name:1. For a standard Michaelis-Menten reaction, k1 = 5 x 107 M-1s-1, k-1 = 2 x 104 s-1, and k2 = 4 x 102 s-1. Calculate Ks (the dissociation constant of the first step in the enzymatic reaction) and Km (the Michaelis constant
Michigan - BME - 221
BME 321Homework 3 (5 pts)Name:1. True or False. State reason if false. (0.5 pts each, 1 pt total) (a) In Michaelis-Menten kinetics, for constant [S], reaction rate is proportional to the Km. False. Proportional to Vmax or [E0].(b) Transition state ana
Michigan - BME - 221
BME 499 Biophysical Chemistry Final Exam, Dec. 12, 2005Name:_Use NA = 6.022 1023 for all calculations with Avogadros number Note, if you cannot solve parts of problems, then assume reasonable values and proceed with the following parts of the problem. 1
Michigan - BME - 221
BME 499 Biophysical Chemistry Mid-term exam, Nov 2nd, 2005Name:_1) Alzheimers Disease is believed to be related to fibrils that form in the brain by the self-assembly of -amyloid peptides. What could be possible interactions that cause the -amyloid pept
Michigan - BME - 221
Q1Q2Q3Q4Q5Q6Q7Q8Q9BME 221 Biophysical Chemistry Final Exam, Dec. 18, 2006 Name:_ Avogadros number NA = 6.02 1023 Elementary charge e = 1.6 10-19 Coul Q1) Explain the mechanism of function of a cool-pack in thermodynamic terms. (10P) UM ID:_Q2) I
Michigan - BME - 221
BME 221 Fall 2006Midterm Exam _ UM ID#_ NameNote: if you cannot calculate certain values which are needed for the next part of the question, assume a reasonable value and continue the calculation with this value. 1) Your 10 year old little sister, brot
Michigan - BME - 221
Michigan - BME - 221
Michigan - BME - 221
BME 221 Biophysical Chemistry, Fall 2008 *note: these are the exam questions but not an exact copy of the midtermFinal ExamQ1) A) Write down, in words, the Second Law of Thermodynamics. Make sure not to forget anything. (4P) B) Write down the Second Law
Michigan - BME - 221
BME 221 Biophysical Chemistry, Fall 2008 Midterm Exam *note: these are the exam questions but not an exact copy of the midterm Q1) Explain the mechanism for the self-cleaning properties of lotus leaves. (6P) Q2) Imagine we ran out of oil and by metabolic
Michigan - BME - 221
BME 221 Homework #1 (38 pts) Due: Beginning of Class, Monday, September 21, 2009 1. What is the basic idea of biomimetics? Describe 3 examples found in nature (at least one of which was not discussed in lecture) and how they can or have been used by human
Michigan - BME - 221
BME 221 Homework #2 Solutions (48 points) Due: Beginning of Class, Friday, October 2, 20091. Use the Maxwell distribution of speeds to estimate the fraction of N2 molecules at 500K thathave speeds in the range 290 to 300 m/s. Draw the Maxwell distributi
Michigan - BME - 221
BME 221 Homework #3 Due: Beginning of class on October 23rd1. The enthalpy of combustion of benzoic acid (C6H5COOH) is commonly used as thestandard for calibrating calorimeters; its value has been accurately determined to be -3226.7 kJ mol-1. The follow
Michigan - BME - 221
BME 221 Homework #4 (50 pts) Due: Beginning of class on November 13th 1. Calculate (a) the (molar) Gibbs energy of mixing (b) the (molar) entropy of mixing when the two major components of air (nitrogen and oxygen) are mixed to form air at 25C. The mole f
Michigan - BME - 221
BME 221 Homework #6 Due: Beginning of class on December 11th 1. A series of reactions that take place in the inner membrane of mitochondria consist of transferring electrons from NADH to several intermediate molecules and ultimately to oxygen to form wate
Michigan - BME - 221
Michigan - BME - 221
Michigan - BME - 221
Michigan - BME - 221
Michigan - BME - 221
Michigan - BME - 321
BioreactorsWhat are cells? Types of cells?What are advantages/disadvantages of each type?Question Want to find antibiotics production . How to find? Where to find? How to increase production? Need stable enzymes including high temperatures (PCR, Deter
Michigan - BME - 321
1BioProcess EngineeringInput to cells Understand program Manipulate program Control InputEnvironmentCell function GenomeCellular programProduction Drug disc Tissue Eng2Weve learned of classification of cells and structure of cells but How does ce
Michigan - BME - 321
1Wouldnt it be nice if . One equation could explain: Enzyme reactions (10 nm) Cell growth (10 m) Cell function like directed migration Tissue/organ function (10 mm) Reaction of huge commercial bioreactors (10 m) We will go over that today. Key equatio
Michigan - BME - 321
Competitive InhibitionYou expect TS analog inhibitors to be competitive inhibitors. So how would you tell?k1 k-1 k2E+S + IorESE+PKiKIVmax [S]EIv= Km (1 +[I] KI) + [S]1KiCompetitive InhibitionCompetitive inhibitors alter Km,eff but do not
Michigan - BME - 321
Reversible InhibitionCompetitive Uncompetitive Noncompetitivev=Vmax [S] Km (1 +[I] KIv=Vmax [S] Km + [S](1 +[I] KIv= )Vmax [S] Km (1 +[I] KI) + [S]) + [S](1 + [S]1[I] KI)You expect TS analog inhibitors to be competitive inhibitors. So how
Michigan - BME - 321
2526Enzyme Immobilization27Enzyme Immobilization28Enzyme Immobilization Surface adsorption: van der Waals, dispersion forces Covalent binding Desorption common due to hydrodynamic forces cross-linking with glutaraldehyde mitigates this problem E
Michigan - BME - 321
Important Things Cells Do Grow will do a lot of this soon Differentiate Move Produce Degrade/Breakdown Die Cell Migration Bacteria, Sperm . Swim . Flagella, Cilia Mammalian Cells . Migrate . Adhesion + Cytoskeletal Forces and Rearrangments.http:/cell
Michigan - BME - 321
Korea Ulsan National Institute of Science and Technology Study abroad &amp; research abroad opportunities All Classes are offered in English. Japan Nagoya University Study abroad, English classes, Housing assistance Toyota tour. France, Germany, Enzyme Netwo
Michigan - BME - 321
Single Cell Type; Batch ReactorSubstrate Enzyme Substrate + Cells X : cell massProduct Product + More Cells N : cell numberBatch Cell Growth Cell growth is an autocatalytic reactionsubstrates + cells products + more cells Rate of growth (mass) Net s
Michigan - BME - 321
Single Cell Type; Batch ReactorSubstrate Enzyme Substrate + Cells X : cell massProduct Product + More Cells N : cell numberSubstrate Limited Cell GrowthE. coli growth on glucose (glucose is limiting substrate) How would you model this growth kinetics?
Michigan - PHYSICS - 140
Michigan - PHYSICS - 140
Michigan - PHYSICS - 240
31. This figure, shown in lecture, represents data on four species (kelp, sea urchins, sea otters, and killer whales) that form a food chain in an Alaskan kelp forest. a) What is the difference between the structure of the community in 1972 vs. its struct
Michigan - PHYSICS - 240
31.Theabovediagramofafishgillillustratesthestructureofthegasexchange surfaces.Thedirectionofbloodflowinthecapillarybedsineachgilllamellais indicatedbyblackarrows.Thedirectionofwaterflowthroughthegillisindicated bylarger,grayarrows. a)Whatisthetermthatdes
Michigan - PHYSICS - 240
Physics 240 Fall 2007: Final ExamPlease print your name:_Instructions 1. 2. 3. 4. Fill in your name above This will be a 2.0 hour, closed book exam. The exam includes 25 questions. You may use a calculator, please do not share calculators You may use fo
Michigan - BIO - 172
Name _ W.09.215H Ex a m N o . 1 Page 1 1. The following reaction sequence might be the sort of scheme proposed for the Honors Cup competition.BrBr2 CCl4 P QBrNaOCH2CH3BrHBrBr BrRSThe problem with this is that the elimination reaction (Q to R) is
Michigan - BIO - 172
1. Complete the following two reaction sequences. 1a .Name _ W .0 9 .2 1 5 H Exam No. 2 Page 11. NaH (or other strong base) 2. O Si 3. NaF, H2O (or other fluoride source) 6 Br OH 1. H2/Pd/BaSO4 quinoline 2. TsCl, pyridine 3. NaBr/acetoneOH 1. OsO4 O +
Michigan - BIO - 172
Name _ W.09.215H Exam No. 3 Page 1 1. Complete the following reaction sequences. 1. CrO3/H2SO4 2. SOCl2 3. excess N PCC or Swern H 1. O Ph 2. NH4Cl/H2O 3. CrO3/H2SO4 O Li+ O O Ph NH O N NOHO Li+ PhHOOSi(CH3)31. LiAlH4 2. NH4Cl/H2O H3CO O1. NaBH4 2.
Florida State College - HISTORY - EUH1000
16. The End of the Middle Ages Black Death o Bubonic plague o Crimea o Coming to Europe rats Changing weather patterns, famine, filth o Pneumonic - other type of plague o Plague Helpers o Common Perception and Reaction Flagellants come in a holy processio
Florida State College - HISTORY - EUH1000
04. The Rise and Fall of Rome Geography o Apennines bisect the country (From N to S) o Full of productive agricultural land Led to bigger population o Tyrrhenian Sea o Tiber River Shallow enough to trade Rome 18 miles from Tyrrhenian Sea In a centralized
Florida State College - HISTORY - EUH1000
05. Germanic Migrations Barbarian invasions a lot of the tribes had been Romanized, were Romans in everything but appearance Two Groups o The West Germans o The East Germans Society o Make-up o Wergild blood money, elders decided they needed to stop the
Florida State College - HISTORY - EUH1000
06. The Byzantine Empire and The Rise and Spread of Islam Byzantium o Definition shows the connection between Constantinople and the apostles o Justinian (482 -565 CE) Corpus Juris Civilis body of civil law Codex all laws from Rome from 312 (edict of Mil
Florida State College - HISTORY - EUH1000
07. Christianizing Europe: The Merovingians and Carolingians Germans o The Ostrogoths o The Visigoths The Franks o Center of Europe Angles and Saxons Germanic groups, makes society become more like them o Great Britain Franks o Location expanded o Merovi
Florida State College - HISTORY - EUH1000
09. The Vikings Invasions of the 9th and 10th Century o Magyars Battle of Lechfeld (955) Magyars defeated by Germans Say they are sorry and convert to Christianity o Vikings Law Thing system gathering of the tribes in order to bring the Vikings together
Florida State College - HISTORY - EUH1000
09. Agriculture, Towns andTradeAgriculture o Harvesting Carucca new, heavier, thicker plow Aratrum - lightweight plow, Italians, for thin soil Tandem harness side by side Shoulder harness put harness around horses shoulders so they could pull with their
Florida State College - HISTORY - EUH1000
10. The Medieval ChurchSpread of Christianity o Martyrs Monks o Eremitic o Cenobitic o St. Benedict of Nursia (480-543) Monte Cassino Benedictine Order. o Abbey of Cluny (910) Duke William I of Aquitaine o Franciscans (Order of Friars Minor/ Greyfriars)
Florida State College - HISTORY - EUH1000
11. Medieval State Formation France o Hugh Capet (987-996) wants to be king, no one really paid attention to him except for the church Capetians - what his kingdom was called le-de-France lands surrounding Paris o Louis VI the Fat (1108-1136) Start to ca
Florida State College - HISTORY - EUH1000
12. England The Kingdoms of England o Wessex south west of country, had natural borders o Essex o Kent o Mercia o Northumbria o East Anglia o Sussex Alfred The Great (871-899) - expanded o Location wessex -&gt; conquers and controls most of England Edward th
Florida State College - HISTORY - EUH1000
13. The Crusades Background o Byzantine Empire shaky ground, Muslim keep attacking on their borders o Seljuk Turks recently converted to Islam Battle of Manzikert (1071) Byzantines defeated o Alexius I Comnenus (1081-1108) calls to the pope for help and
Florida State College - HISTORY - EUH1000
03. Before the Romans o o o o o o o o o o o o oCelts Terms Keltoi Celtus Geography Gallic Scandic and Germanic Hallstatt Period (750 450 BCE) Culture La Tne period (450 end of 1st century BCE) Culture Celtic expansion Cisalpine (Transalpine) Gauls Agric
Florida State College - HISTORY - EUH1000
Samantha Hildebrand Word Count: 1092 The crusades were a holy war fought between the Franks and the Muslims. Or was religion just an excuse to raid the Muslim towns? The two documents: Pope Urban IIs Speech at Clermont and A Muslim Perspective show the tw
Florida State College - HISTORY - EUH1000
Tyrrhenian Sea Rome is 18 miles from sea Tiber River shallow enough to trade Remus and Romulus - Offspring of the god of war Mars with Virgin - Found by a she wolf and nursed by she wolf - Fight with one another - Wanted to name the city after themselves,
Florida State College - HISTORY - EUH1000