Lotka–Volterra equation Essays

Using equation (1) we obtain the total time to be Tt=∑(0.30+0.08+1.42+0.39+0.34+0.50+0.09+0.16+0.32+0.50+0.07+0.30+0.09+1.57+0.30+0.09+1.57+0.21+0.43+0.41+1.03+0.28+0.13+.06+28.5+1.29+0.22+0.30+0.56+0.39+0.40) = 42.3 (min). For: obtaining the cards from the front of the class, taking out six cards, sorting, searching for the missing cards, shuffling four times, placing back into the box, opening the box of cards, obtaining six cards, organizing, sorting, searching for the missing six cards, shuffling

Reflection of: “Mark Twain and His Times” The article “Mark Twain and His Times,” by Stephen Railton tells of a time when Mark Twain was the American idol. During the period between 1865 through 1910, Railton declares was “Twain’s time” (Railton, 2010). During this time Mark Twain was in the midst of his lecture tours and live performances, his newspaper articles were being read by people all around the globe, and his fiction books became instant pieces of American literature. His storytelling

Lab report: How does the surface area affect the rate of reaction ? Introduction The rate of a chemical reaction (or reaction rate) is a calculation of the total time needed for a reaction to take place, or how quickly the reactants are transferred into products in a chemical process. This rate can be measured in two methods. The first one is to measure the rate at which the reactants are used up per unit of time, while the second method is to measure the rate at which the products are formed

(VCAA), 2016a, VCMNA336) Relevant prior VCM codes - year 7: Solve simple linear equations (VCAA, 2016b, VCMNA256) - year 8: Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (VCAA, 2016c, VCMNA284) - year 9: Sketch linear graphs using the coordinates of two points and solve linear equations (VCAA, 2016d, VCMNA310) - year 10: Solve problems involving linear equations, including those derived from formulas (VCAA, 2016e, VCMNA335) Students’ prior knowledge

The unit A.2 test is my best assignment because I find question involving linear functions the easiest to solve. When I learned the four ways to solve linear functions, I learned that if I’m unsure of an answer I can just use a different method to check if I have the same answer. One way to solve the y=mx+b formula when given only two points is to start by plotting the points; then draw a straight line from one of the points to the other. Then count up or down on the Y axis and count right or left

All the graphs have data points which show the averages of the site between the two trials. There is a line of best fit which has a slope of r², which is the correlation value between canopy cover and the variable tested. Figure 1 shows the average macroinvertebrate rating between Trial 1 and Trial 2. The correlation value (r²) of 0.07 shows an extremely weak, negative relationship between canopy cover and macroinvertebrates. The site with 25% canopy cover had the highest average macroinvertebrate

solutions are going to be complex, which methods can be used to solve quadratic equations? Explain your reasoning. When the answers to a quadratic problem are complicated, the quadratic formula or completing the square can be used to solve it. This is because these approaches are designed to produce complicated solutions when the exponent is negative. The quadratic formula is a generic solution for any quadratic equation that provides the two solutions in terms of the problem's coefficients. Completing

In the not so short story “the cold equations” the author presents a hard decision to kill one or many the killing of one to save many is decided. Tom godwin wrote a story about an EDS pilot who find a stowaway-- an 18 year old girl named Marilyn. Marilyn snuck on the little ship halling fever medicine for 6 men that were sent to the planet Woden. The pilot gets to know Marilyn who snuck on the ship to go see her brother who was on the other side of Woden. The rule was any sort of stowaway was to

Aim The aim of this investigation was to experimentally determine the order and rate law expression of the reaction between sodium iodide and iron (III) nitrate 9-hydrate. Introduction The most interesting topic in grade twelve chemistry was the unit on kinetics, therefore after brainstorming a mind map on the stimulus that I chose, I was interested in creating an experiment to determine the order and rate law expression between two reactions myself. The original idea for this project came from

Introduction In the following lab experiment, reactions will be induced in order to experimentally determine both the rate laws and the reaction orders of hydrochloric acid and sodium thiosulfate in the synthesis of the two solutions. A rate law is an equation which can tell you how fast a reaction will take place, dependent on the concentrations of each solution involved. A reaction order, usually described as either zeroth, first, or second order, gives the magnitude of variance when the concentration

were carbon dioxide, water, and sodium acetate. Because this reaction will be based on its speed according to the difference in temperature, the higher the temperature the faster the reaction will occur creating a direct relationship. The balanced equation is as follows: NaHCO3 (aq)+ CH3COOH (aq) →

understand better what affects the rate of reaction and how changing concentration levels will help increase the rate of reaction. Magnesium Metal (ribbon) reacts with hydrochloric acid to form Magnesium Chloride salt, and releases hydrogen gas. The equation is stated

to find out the respective enthalpies of the reactions. These two values completed the Table of Thermochemical Equations given and with respect to Hess’s Law, the heat of formation of solid NaCl was computed by adding the enthalpies in the table. Two Styrofoam cups and a thermometer through its lid served as the calorimeter where the reactions took place. Using the heat transfer equation, the enthalpy of the first reaction was computed to be -1.080 kJ/mol. On the other hand, the enthalpy of the second

Transition Work Reaction Rates – Let’s Go Faster The rate of reaction can be calculated using the formula: rate of reaction= (amount of reactant used or amount of product formed)/time → The steeper the slope created the faster the reaction, a steep slope occurs when the amount of reactant used/amount of product formed is large and the time over which this occurs is small. Factors that affect rate of reaction There are 4 distinct factors that each affect the rate of reaction: → Temperature:

Will Encounter Alien Life” by David Haugen and Zack Lewis, astronomer Frank Drake is interviewed on the search for extraterrestrial life. The Drake equation and the organization (SETI) are also discussed. Finding alien life seems almost a certainty. At least, that 's what astronomer Frank Drake, creator of the Drake equation, thinks. The Drake equation, created by its namesake, is a formula to estimate the number of extraterrestrial civilizations in the Milky Way Galaxy. Frank Drake is also the

to the concentrations of reactants (and catalysts) raised to various powers. The rate law is shown in Equation 11. Rate = k[A]x[B]y[C]z (Eq.1) The rate constant (k) is a proportionality constant in the relationship between rate and concentrations, but changes when temperature changes. The effect of temperature on a reaction rate is given by the Arrhenius equation2 (Equation 2): k=Ae-Ea/RT (Eq.2) where A is the collision frequency factor, Ea the activation energy

According to the case, the leadership style of Brinker is fit for the charismatic leadership style of influence based types of leadership. The charismatic leader is one who creates an atmosphere of motivation based on an emotional commitment to and identity with his or her vision, philosophy, and style on the part of followers. Norman had high expectation that allowed him to bring customer service and satisfaction to a higher standard. The shared perspective and idealized vision make him a likable

target and first focal point (fs) of the standard lens were measured to give χ. The focimeter equation〖[F〗_t=F_(s^2 ) x] was used to work out the correct power of the lenses (Ft). A graph was plotted with Ft being the Y value (in dioptres) and χ being the X variable (in metres). Fs2 remained constant. A line of best fit was drawn from the results which gave the power of the unknown lenses. The equation of the line of best fit was[Y = 100x]

Meeting (The Three Graces) is an oil on canvas painting created by Manierre Dawson in 1912. Cubistic in style, the subjects of his painting are three women from Greek mythology commonly known as the three graces. The women were daughters of Zeus who represented traits such as youthfulness, elegance, and beauty. There have been many artworks depicting the three graces, but Manierre Dawson’s stands out from the rest. Dawson’s painting is different from traditional portrayals of the graces because of

My observation took place at The lost dog cafe and my focus was mainly on the host welcoming customers. I started my observation at 6 pm and it took me two hours to complete my assessment. I was sitting at an high top chair right at the front of the restaurant which limited my eyesight to the back part of the restaurant. I decided to sit up front since I assumed the host would be standing at the front of the restaurant but soon I found out that she occasionally went to the back part on the restaurant