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.

Campbell Stephanie due 09/12/2010 at 11:55pm EDT.
Assignment 1
MATH263, Fall 2010
You may attempt any problem an unlimited number of times.
Correct Answers:
1. (1 pt) Match each of the following differential equations with a solution from the list below. y +y = 0 2x2 y + 3xy = y y 12y + 32y = 0 y + 12y + 32y = 0 y = e8x 1 B. y = x C. y = e4x D. y = cos(x) 1. 2. 3. 4. A.
Correct Answers: D B C A
B E D A
4. (1 pt) Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. 1. 2. 3. 4. 5. A. B. C. D. E.
2. (1 pt) Match each of the differential equation with its solution. 1. 2. 3. 4. A. B. C. D. y + 13y + 40y = 0 2x2 y + 3xy = y xy y = x2 y +y = 0 y = 3x + x2 y = e8x 1 y = x2 y = sin(x)
d2y + 81y = 0 dx2 dy 2xy = dx x2 9y2 dy d2y + 12 + 36y = 0 dx2 dx dy = 18xy dx dy + 18x2 y = 18x2 dx 3 y = Ce6x + 1 3yx2 9y3 = C y = A cos(9x) + B sin(9x) 2 y = Ae9x y = Ae6x + Bxe6x
C B E D A
Correct Answers:
Correct Answers: B C A D
3. (1 pt) Match each differential equation to a function which is a solution. FUNCTIONS A. y = 3x + x2 , B. y = e8x , C. y = sin(x), 1 D. y = x 2 , E. y = 4 exp(6x), DIFFERENTIAL EQUATIONS 1. 2. 3. 4. y + 12y + 32y = 0 y = 6y 2x2 y + 3xy = y xy y = x2
1
5. (1 pt) Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair of equations) there are systems of differential equations, (where a pair of functions have to satisfy a pair of differential equations). Indicate which pairs of functions satisfy this system. It will take some time to make all of the calculations. 5 3 y1 = y1 y2 2 2 3 5 y2 = y1 + y2 2 2
y2 = cos(x) sin(x) A. y1 = sin(x) + cos(x) B. y1 = ex y2 = ex C. y1 = ex y2 = ex 2x D. y1 = 2e y2 = 3e2x 4x E. y1 = e y2 = e4x F. y1 = sin(x) y2 = cos(x)
G. y1 = cos(x)
y2 = sin(x)
-9200
As you can see, nding all of the solutions, particularly of a system of equations, can be complicated and time consuming. It helps greatly if we study the structure of the family of solutions to the equations. Then if we nd a few solutions we will be able to predict the rest of the solutions using the structure of the family of solutions.
Correct Answers: CE
9. (1 pt) It is easy to check that for any value of c, the function y = ce2x + ex is solution of equation y + 2y = ex . Find the value of c for which the solution satises the initial condition y(4) = 10. c=
Correct Answers: 29754.9817203841
6. (1 pt) It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to nd a function which solves the equation. Two classications are the order of the equation (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear: + sin(t + y) = sin t dt 2 ? 2. y y + t 2 = 0 dy d2y ? 3. t 2 2 + t + 2y = sin t dt dt ? 4. y y + y2 = 0 ? 1.
Correct Answers: 2Nonlinear 2Linear 2Linear 2Nonlinear
10. (1 pt) The family of functions y = ce2x + ex is solution of the equation y + 2y = ex . Find the constant c which denes the solution which also satises the initial condition y(5) = 2. c=
Correct Answers: -0.0066471471395605
d2y
11. (1 pt) Find the two values of k for which y(x) = ekx is a solution of the differential equation y 12y + 27y = 0. smaller value = larger value =
Correct Answers: 3 9
7. (1 pt) It is easy to check that for any value of c, the function c y = x2 + 2 x is solution of equation xy + 2y = 4x2 , (x > 0). Find the value of c for which the solution satises the initial condition y(7) = 1. c=
Correct Answers: -2352
12. (1 pt) Find all values of k for which the function y = sin(kt ) satises the differential equation y + 20y = 0. Separate your answers by commas.
Correct Answers:
8. (1 pt) The functions y = x2 + are all solutions of equation: xy + 2y = 4x2 , (x > 0). Find the constant c which produces a solution which also satises the initial condition y(10) = 8. c=
Correct Answers:
2
c x2
4.47213595499958, -4.47213595499958, 0
13. (1 pt) Find the value of k for which the constant function dx x(t ) = k is a solution of the differential equation 3t 4 3x + dt 4 = 0.
Correct Answers: 1.33333333333333
14. (1 pt) Which of the following functions are solutions of the differential equation y 12y + 36y = 0? A. y(x) = 6x B. y(x) = 0 C. y(x) = 6xe6x D. y(x) = x2 e6x E. y(x) = xe6x F. y(x) = e6x G. y(x) = e6x
or x. g(y) = E. A curve which at each of its points is perpendicular to the member of the family F that goes through that point is called an orthogonal trajectory to F . Each orthogonal trajectory to F satises the differential equation 1 dy = , dx g(y) where g(y) is the answer to part D. Find a function h(y) such that x = h(y) is the equation of the orthogonal trajectory to F that passes through the point P. h(y) =
Correct Answers: 2 * e(6 * (x - 1)) 12 -0.0833333333333333 6*y 1 + (6 /2)*((2 *2 ) - y*y)
Correct Answers: BEF
15. (1 pt) Consider the curves in the rst quadrant that have equations y = A exp(6x), where A is a positive constant. Different values of A give different curves. The curves form a family, F . Let P = (1, 2). Let C be the member of the family F that goes through P. A. Let y = f (x) be the equation of C. Find f (x). f (x) = B. Find the slope at P of the tangent to C. slope = C. A curve D is perpendicular to C at P. What is the slope of the tangent to D at the point P? slope = D. Give a formula g(y) for the slope at (x, y) of the member of F that goes through (x, y). The formula should not involve A
Generated by the WeBWorK system c WeBWorK Team, Department of Mathematics, University of Rochester
16. (1 pt) The solution of a certain differential equation is of the form y(t ) = a exp(6t ) + b exp(9t ), where a and b are constants. The solution has initial conditions y(0) = 2 and y (0) = 1. Find the solution by using the initial conditions to get linear equations for a and b. y(t ) =
Correct Answers:
5.66666666666667 *(e(6 *t)) + -3.66666666666667 *(e(9 *t)
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:

McGill - MATH - 263

Stephanie Campbell due 09/12/2010 at 11:55pm EDT.Assignment 1MATH263, Fall 2010You may attempt any problem an unlimited number of times. 1. (1 pt) Match each of the following differential equations with a solution from the list below. 1. 2. 3. 4. y +y

McGill - MATH - 263

Stephanie Campbell due 09/18/2010 at 11:55pm EDT.Assignment 2MATH263, Fall 2010You may attempt any problem an unlimited number of times. 5. (1 pt) Find the function y = y(x) (for x > 0 ) which satises the differential equation dy 9 + 16x = , (x > 0) dx

McGill - MATH - 263

Stephanie Campbell due 09/18/2010 at 11:55pm EDT.Assignment 2MATH263, Fall 2010You may attempt any problem an unlimited number of times. with the initial condition: y(1) = 5 1. (1 pt) Suppose that the initial value problem y = 9x2 + 5y2 7, y(0) = 2 y=

McGill - MATH - 263

Stephanie Campbell due 10/01/2010 at 04:00pm EDT.Assignment 3MATH263, Fall 2010Please note that you have a limit of 6 tries for all problems on this assignment. 1. (1 pt) Determine the type of each ODE from among the types linear, separable and homogen

McGill - MATH - 263

Stephanie Campbell due 09/30/2010 at 11:55pm EDT.Assignment 3MATH263, Fall 2010Please note that you have a limit of 6 tries for all problems on this assignment. 4. (1 pt) Find the solution to the initial value problem that is a non-zero polynomial func

McGill - MATH - 263

Stephanie Campbell due 10/16/2010 at 11:55pm EDT.Assignment 4MATH263, Fall 2010You may attempt any problem an unlimited number of times. 2. (1 pt) Solve the initial value problem d2y dx2 y(x) = + 10 dy + 21y = 0, dx . y(0) = 6, y (0) = 30W (t ) = Rema

McGill - MATH - 263

Stephanie Campbell due 10/16/2010 at 11:55pm EDT.Assignment 4MATH263, Fall 2010You may attempt any problem an unlimited number of times. 7. (1 pt) Find the function y1 of t which is the solution of 81y + 36y 5y = 0 with initial conditions y1 = y1 (0) =

McGill - MATH - 263

Stephanie Campbell due 11/09/2010 at 11:55pm EST.Assignment 5MATH263, Fall 2010You may attempt any problem an unlimited number of times. 1. (1 pt) Find y as a function of x if y(4) 4y + 4y = 64e2x , y(0) = 8, y (0) = 4, y (0) = 8, y (0) = 8. y(x) = 2.

McGill - MATH - 263

Stephanie Campbell due 11/20/2010 at 11:55pm EST.Assignment 6MATH263, Fall 2010You may attempt any problem an unlimited number of times. 3. (1 pt) Find the Inverse Laplace Transform of the following functions: F (s) = f (t ) = f (t ) = 6e4t sin(7t ) +

McGill - MATH - 263

Stephanie Campbell due 12/01/2010 at 11:55pm EST.Assignment 7MATH263, Fall 2010You may attempt any problem an unlimited number of times. 6. (1 pt) Determine the two singular points of the differential equation1. (1 pt) Find the indicated coefcients of

McGill - MATH - 263

HeyI just did a mistake while rewritint the formuluaOn the first pageAfter 'Know/Be familiar' The First Formula IS FALSEIt should beuc* f(t-c) = F(s) *e^(-cs) NOT F(s-c)Thks :)Steve

McGill - MATH - 263

ORDINARY DIFFERENTIAL EQUATIONS FOR ENGINEERS THE LECTURE NOTES FOR MATH263 (2010-Fall)ORDINARY DIFFERENTIAL EQUATIONS FOR ENGINEERSJIAN-JUN XUDepartment of Mathematics and Statistics, McGill UniversityKluwer Academic Publishers Boston/Dordrecht/Londo

McGill - MATH - 263

McGill University Math 263: Differential Equations for EngineersCHAPTER 1:INTRODUCTION1 Denitions and Basic Concepts1.1 Ordinary Differential Equation (ODE)An equation involving the derivatives of an unknown function y of a single variable x over an

McGill - MATH - 263

McGill University Math 263: Differential Equations for EngineersCHAPTER 2:FIRST ORDER DIFFERENTIAL EQUATIONS In this lecture we will treat linear and separable rst order ODEs.1 Linear EquationThe general rst order ODE has the form F (x, y, y ) = where

McGill - MATH - 263

McGill University Math 263: Differential Equations for EngineersCHAPTER 3: N-TH ORDER DIFFERENTIAL EQUATIONS (II)1 Solutions for Equations with Constants CoefcientsIn what follows, we shall rst focus on the linear equations with constant coefcients:L(

McGill - MATH - 263

McGill University Math 263: Differential Equations for EngineersCHAPTER 3:N-TH ORDER DIFFERENTIAL EQUATIONS (III)1 Finding a Particular Solution for Inhomogeneous EquationIn this lecture we shall discuss the methods for producing a particular solution

McGill - MATH - 263

McGill University Math 263: Differential Equations for EngineersCHAPTER 3:N-TH ORDER DIFFERENTIAL EQUATIONS (IV)1 Solutions for Equations with Variable CoefcientsIn this lecture we will give a few techniques for solving certain linear differential equ

City UK - ECONOMICS - 100

Click to edit Master subtitle style12/4/1011I ntr oduction:After comprehensive market research by both primary and secondary means we have compiled a report from the findings of a SWOT/Situation analysis which will show that Chabahar is a port worth m

McGill - MATH - 263

McGill University Math 263: Differential Equations and Linear AlgebraCHAPTER 4:LAPLACE TRANSFORMS (I)1 IntroductionWe begin our study of the Laplace Transform with a motivating example: Solve the differential equation y + y = f (t) =with ICs:0, 0 t

McGill - MATH - 263

McGill University Math 263: Differential Equations and Linear AlgebraCHAPTER 4:LAPLACE TRANSFORMS (II)1 Solve IVP of DEs with Laplace Transform MethodIn this lecture we will, by using examples, show how to use Laplace transforms in solving differentia

McGill - MATH - 263

McGill University Math 263: Differential Equations and Linear AlgebraCHAPTER 4:LAPLACE TRANSFORMS (III)1 Further Studies of Laplace Transform1.11.1.1Step FunctionDenitioncfw_ uc (t) =1.1.20 1t < c, t c.Some basic operations with the step funct

McGill - MATH - 263

4 4 5 2 2 6 4 5 3 = 0 Let y = xv 4()4 5 2 ()2 6 4 5 ()3 = 0 4 4 4 5 4 2 6 4 5 4 3 = 0 4 4 5 2 6 5 3 = 0 () = + = + 4 4 5 2 6 5 3 =0 + = 0 5 4 = 0 4 4 5 2 6 5 3 4 4 5 2 6 5 3 4 5 2 6 = 5 35 3 1 = 4 5 2 6 5 3 =

McGill - MATH - 263

McGill - MATH - 263

UC Davis - AGRONOMY - PLB174

MTBCH001.QXD.130084614/12/043:08 PMPage 1PART1INTRODUCTION: MARKETS AND PRICESPART 1surveys the scope of microeconomics and introduces some basic concepts and tools. Chapter 1 discusses the range of problems that microeconomics addresses, and t

McGill - MATH - 263

McGill - MATH - 263

So, exact equations will be of the form: M(x,y)dx+N(x,y)dy=0 To test if the equation is exact, check ifIf the equation is not exact, you need to multiply by integrating factor (x,y)so, now you need to expand the equationExanding this gives:Separate th

McGill - ENG - 263

McGill - MATH - 263

AquickreviewFirstOrderODEsLinearODE isoftheformSolutioncanbederivedusingintegratingfactormethod orvariationofparametermethodSeparableEquation:FirstOrderODEs(cont)HomogeneousEquation*:Resultsinaseparableequation*Homogeneousequationcanalsomeanalinea

McGill - MATH - 263

UC Davis - AGRONOMY - PLB174

MTBCH002.QXD.130084614/12/043:24 PMPage 19CHAPTER2The Basics of Supply and DemandCHAPTER OUTLINE2.1 Supply and Demand 20 2.2 The Market Mechanism 23 2.3 Changes in Market Equilibrium 24 2.4 Elasticities of Supply and Demand 32 2.5 Short-Run

UC Davis - AGRONOMY - PLB174

MTBCH003.QXD.130084614/12/043:32 PMPage 61PART2PRODUCERS, CONSUMERS, AND COMPETITIVE MARKETSPART 2presents the theoretical core of microeconomics. Chapters 3 and 4 explain the principles underlying consumer demand. We see how consumers make con

UC Davis - AGRONOMY - PLB174

MTBCH004.QXD.130084614/12/043:51 PMPage 107CHAPTER4Individual and Market DemandCHAPTER OUTLINEC1.hapter 3 laid the foundation for the theory of consumer demand. We discussed the nature of consumer preferences and saw how, given budget cons

UC Davis - AGRONOMY - PLB174

BGIA D C V O T OTR NG I H C NNG NGHI P H N INguy n M nh Kh i (Ch bin) Nguy n Th Bch Thu , inh Sn QuangGIO TRNHB O QU N NNG S NH N i, 20051L I NI U Cy tr ng ni ring v th c v t xanh ni chung ng gp ph n quan tr ng trong vi c cung c p th c ph m cho co

UC Davis - AGRONOMY - PLB174

Color profile: Disabled Composite Default screenChapter 6Agronomy and Cropping SystemsDietrich LeihnerResearch, Extension and Training Division, Sustainable Development Department, FAO, Via delle Terme di Caracalla, 00100 Rome, ItalyIntroductionCass

UC Davis - AGRONOMY - PLB174

FACULTY OF ECONOMICS AND RURAL DEVELOPMENT ARE 100 A THEORY OF PRODUCTION AND CONSUMPTION (INTERMEDIATE MICROECONOMICS) Pham Van Hung (pvhung@hua.edu.vn); Nguyen Huu Nhuan and Nguyen Thi Duong Nga GENERAL INFORMATION Course Description This course is desi

UC Davis - AGRONOMY - PLB174

Fruit VegetablesMonocots Dicots Cucurbitaceae Cucumber Zucchini Honeydew Muskmelon Winter squash Leguminosae Lima bean Kidney bean Pea Broad bean Mung bean Malvaceae Okra Solanaceae Pepper, bell Pepper, chili Tomato Eggplant Sweet corn Zea maysCucurbita

UC Davis - AGRONOMY - PLB174

10/28/2010LeafyandsucculentvegetablesPostharvest physiologyand handlinglaboratory Hanoi,2010Characteristicsandpostharvest considerationsHarvest Byhand Sharptools Bymachineforlightlyprocessedproducts110/28/2010Packing Infield Boxesdependoncoolingm

UC Davis - AGRONOMY - PLB174

10/28/2010Postharvest biology and technology for floricultural crops floricultural cropsPostharvest biology and handling laboratory Hanoi, 2010Factors affecting the life of cut flowers & potted plantsSell better cultivarsTemperature management25 yel

UC Davis - AGRONOMY - PLB174

PLS 172 Lecture 31 of 10RESPIRATIONMikal E. Saltveit, Department of Plant Sciences, UC DavisTABLE OF CONTENTS Topic Introduction Respiration Basic Mechanism Respiration Overall reactions of respiration Measurement of respiration Measurement of gas exc

UC Davis - AGRONOMY - PLB174

PLB 172 Lecture #10Compositional Changes: carbohydrates, organic acids, pectin, lipidsFlorence Negre-Zakharov Plant Sciences, UC Davis fnegre@ucdavis.eduCO2Calvin Cycle SugarsSugarsGlycolysis1(photosynthetic assimilates) Amino Acids Carbohydrates

UC Davis - AGRONOMY - PLB174

PLB 172 Lecture #9Compositional Changes: amino acids, proteins, pigments and aromaFlorence Negre-Zakharov Plant Sciences, UC Davis fnegre@ucdavis.edu(photosynthetic assimilates) Amino Acids Carbohydrates Organic Acids PEP Phenylalanine Pyruvate Acetyl-

UC Davis - AGRONOMY - PLB174

Cropping system assignmentInstructor: Trn Danh Thn Student: Nguyn Trng Qu ID: 520521 Subject: From a case study of cropping system on your country, please analyze inter-relationship between its components as well as to other systems in the agriecosystem

UC Davis - AGRONOMY - PLB174

Physiological disordersPostharvest physiology and handling laboratory Hanoi University of Agriculture, 2010Physiological disorders Non-pathogenic disorders resulting from abnormal conditions during production and marketing Handling damage and effects o

UC Davis - AGRONOMY - PLB174

Lab 2RespirationGoals1. To observe the range of respirations of different perishable commodities and relate respiration to relative perishability 2. To determine respiratory quotient for different commodities 3. To determine Q10 for a commodity, and gr

UC Davis - AGRONOMY - PLB174

PLS 172 Lecture 11 of 12POSTHARVEST LOSSES OF HORTICULTURAL COMMODITIESMikal E. Saltveit, Dept. Plant Sciences, UC DavisTABLE OF CONTENTSTopic Scope of postharvest physiology What is postharvest physiology Historical perspective The global picture Po

UC Davis - AGRONOMY - PLB174

PLB 1721 of 8PHYSIOLOGICAL DISORDERS OF FRESH HORTICULTURAL CROPSM.S. Reid, A.A Kader, M.E. Saltveit University of California, Davis 95616 Before and after harvest, the quality of perishable commodities can be reduced by a variety of external or intern

UC Davis - AGRONOMY - PLB174

Initial Cooling COOLING METHODJim Thompson and Michael ReidPostharvest physiology and Handling physiology and Handling Laboratory Hanoi, October 2010 Conduction Convection Radiation Of little importance at these temperaturesCOOLING MEDIUM Air Conve

UC Davis - AGRONOMY - PLB174

Quality of horticultural cropsPostharvest physiology & Handling LaboratoryHanoi Agricultural University October, 2010Florence Negre & Michael Reid UC Davisfnegre@ucdavis.eduQuality Appearance Color, gloss, feel Shape Defects and blemishes Nutritiv

UC Davis - AGRONOMY - PLB174

STT 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.L p KDNN 55 KE 55 A QTKD 55 B KHCT53T CNSH 54B CNSH55B QTKD53T KTNN52B KTNN54B KT55B TY53B CNTP55A QL53B QL55C QL55E QL54D MT53CNgi th hin Nguyn Th Nga Nguyn Vn Minh Nguyn Vn Ninh o Th Kim Oa

UC Davis - AGRONOMY - PLB174

PLS 172 Lecture 31 of 8RESPIRATION: THE PHYSIOLOGIST'S YARDSTICKMikal E. Saltveit and Michael S. Reid, University of California, Davis 95616TABLE OF CONTENTS Topic Introduction Internal factors Environmental factors Physical stress References c. Stage

UC Davis - AGRONOMY - PLB174

Most slides in this presentation are from Trevor SuslowFood Safety Considerations for Fruits and Vegetables.Perspective of a non-microbiologistMarita Cantwell Dept. Plant Sciences, UCDavis micantwell@ucdavis.eduhttp:/postharvest.ucdavis.edu http:/post

UC Davis - AGRONOMY - PLB174

The effect of cropping systems on production and environment CROPSYS 2007-2010ICROFSInternational Centre for Research in Organic Food SystemsHarvest of cereals with a well-developed undersown clover as catch crop (photo: Henning C. Thomsen)The effect

UC Davis - AGRONOMY - PLB174

Opportunities in AgricultureCONTENTS WHY DIVERSIFY? 2TO SURVIVEPROFILE: THEY DIVERSIFIED 3Diversifying Cropping SystemsALTERNATIVE CROPS 4 PROFILE: DIVERSIFIED NORTH DAKOTAN WORKS WITH MOTHER NATURE 9 PROTECT NATURAL RESOURCES, RENEW PROFITS 10 AGROF

UC Davis - AGRONOMY - PLB174

Lab 3EthyleneGoal To observe the effects of ethylene in fruit ripening, and to see the action of inhibitors CO2 1-MCPMaterials Ethylene treatment system ethephon at an appropriate dilution Samples of the different commodities (15 of each) Banana,

UC Davis - AGRONOMY - PLB174

Maturation & Maturity Indices, Standardization & InspectionMaturity Definition of horticultural maturity Stage at which a commodity has reached a sufficient stage of development that after harvesting and postharvest handling (including (i ripening, if r

UC Davis - AGRONOMY - PLB174

PLS 172 Lecture 21 of 11MORPHOLOGY, STRUCTURE, GROWTH AND DEVELOPMENTMikal E. Saltveit, Dept. Plant Sciences, UC DavisTABLE OF CONTENTSTopic Methods of classification Cellular structure Anatomy Morphology Growth and development Horticultural vs. phys

UC Davis - AGRONOMY - PLB174

PLB 172 Lecture #9Composition and Nutritive Value of Fruits and VegetablesFlorence Negre-Zakharov Plant Sciences, UC Davis fnegre@ucdavis.eduComposition of Fruits and Vegetables1. Use as Human Food (Nutrition, Quality and Safety Considerations) 2. Pre

UC Davis - AGRONOMY - PLB174

The biology of ethylene production and action in fruitsEthylene - an important factorUseful: Accelerates ripening Causes abscissionA problem: Accelerates ripening Accelerates senescence Causes abscissionWhat is ethylene? C2H4 Verysimple molecule A

UC Davis - AGRONOMY - PLB174

PLB 1721 of 10COMPOSITION AND COMPOSITIONAL CHANGESAdel A. Kader, Mikal Saltveit Department of Plant Sciences, University of California, Davis 95616TABLE OF CONTENTSTOPIC Page 1. Introduction 1 2. Carbohydrates 2 Sugars, organic acids, polysaccharide

UC Davis - AGRONOMY - PLB174

Productphotographin field,orinmarketLaboratoryreportProductnameStructure Photographofproductanddrawingor photographofcrosssectionwithtissues labelledRespiration Reportrespirationat2,14,26,Q10(10 14),andRQ(mean) BriefdescriptionWaterloss Ifyouuseda