Applications: Graphing Simultaneous Equations − − − − Relating linear graphs and simultaneous equations Analysing graphs Practical applications of linear graphs Writing algebraic equations Jane Stratton Objectives: • Use linear graphs to solve simultaneous equations • Use graphs of linear equations to solve a range of problems • Translate worded problems into graphical and algebraic form Finding the Solution to an Equation from a graph • Finding solutions to an equation when we have a graph is easy
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DEVELOPMENT OF COST ESTIMATION OF EQUATIONS FOR FORGING A thesis presented to the faculty of the Russ Engineering and Technology of Ohio University the Russ College ofCollege of Engineering and Technology of Ohio University In partial fulfillment of the requirements for the degree Master of Science John C. Rankin November 2005 APPROVAL PAGE This thesis entitled DEVELOPMENT OF COST ESTIMATION OF EQUATIONS FOR FORGING by John C. Rankin JOHN C. RANKIN has been approved for the Department
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Lab #5: Grignard Reaction – Synthesis of Triphenylmethanol John Kang Chem 152L Performed: 7/20/04 Date submitted: ________________ Lab Partners: Sang Lee‚ Vicky Lai TA: John Stanko Abstract: This experiment explored the synthesis of triphenylmethanol through the use of Grignard reagents. The percent yield of the product was 10% on a relatively humid day. The melting point was calculate to be 127.2oC with a literature value of 162oC. An IR spectrum of the product was taken and used
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BIOL2220 Lab 3: Hill Reaction Introduction In 1937‚ Robert Hill discovered that isolated chloroplasts can generate oxygen when they are illuminated in the presence of a suitable electron acceptor‚ even in the absence of carbon dioxide. This finding was a landmark in the study of photosynthesis because it established that the source of the electrons used in the light reactions is water. It also confirmed that the released oxygen is derived from water instead of carbon dioxide. In chloroplasts
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Observations | Reaction Type | Complete and Balance | 1. When heated in oxygen‚ magnesium gives off a bright white flame. | combination reaction | 2Mg + O2-----> 2MgO | 2. Bubbling and fizzing occurs; the zinc appears to “dissolve” and what appears to be “steam” comes off out of container. | single-displacement reaction | Zn + 2 HCl (aq) --> ZnCl2(aq) + H2(g) | 3. Black smoke occurs | decomposition reactions | 2 (H2O2)(aq) MnO2 2 (H2O) + (O2) | 4. reddish-brown deposit
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Cattell’s specification equation and his 16 factor personality index in order to predict the likely hood that John will drink wine as opposed to refraining. First‚ we need to determine his 16 factor personality. The 16 factors are as follows; warmth‚ intellect‚ emotional stability‚ aggressiveness‚ liveliness‚ dutifulness‚ social assertiveness‚ sensitivity‚ paranoia‚ abstractness‚ introversion‚ anxiety‚ openmindedness‚ independence‚ perfectionism‚ and tension. Each of these factors are evaluated
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Maxwell Ampere Equations R. M. Kiehn (in preparation - last update 10/31/97) Physics Department‚ University of Houston‚ Houston‚ Texas Abstract: The topological universality of the Maxwell Faraday and Maxwell Ampere equations is an artifact of C2 differential forms on a domain of dimension n * 4. Starting with a 1-form of (electromagnetic) Action‚ the Maxwell Faraday equations become a consequence of the Poincare lemma. Starting from an N-1 form density‚ the Maxwell Ampere equations become a consequence
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During the initiation and formation of the Grignard crushed magnesium was placed in a round bottomed flask with an iodine crystal with a bromobenzene solution with a stir bar. Once the stirring began‚ the solution turned brown and over time began to lighten up. The color change to brown indicated that the reaction began and this is why an iodine crystal was placed in the solution. The reaction started to boil due to its own reflux so heat didn’t need to be applied. Next the anhydrous ether solution
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9.5 Tests for halogens and halide Ions Test for halogen Test method Test observations Test chemistry and comments Chlorine gas Cl2 A pungent green gas. (i) Apply damp blue litmus. (Can use red litmus and just see bleaching effect.) (ii) A drop silver nitrate on the end of a glass rod into the gas. (i) litmus turns red and then is bleached white. (ii) White precipitate. (i) Non-metal‚ is acid in aqueous solution and a powerful oxidising agent (ii) It forms a small amount of chloride ion in water
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Elimination Reactions ________________________________________ As described previously‚ primary alkyl halides generally undergo substitution reactions with simple nucleophiles by an SN2 mechanism. Secondary alkyl halides‚ often react with simple basic nucleophiles to give a mixture of products arising from both substitution and elimination. As with substitution reactions‚ the rate at which elimination reactions proceed can be proportional to both the concentration of the base and the concentration
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