A Mathematical Model: An Idealization of a Real Problem

1.What two factors did you investigate in your procedure, and why did you choose to compare these two factors?

How much it costs to use your computer Watts x Hours Used / 1000 x Cost Per kilowatt-hour = Total cost

4) Use cubic regression to determine an equation for the data (or lwh where (12 – x) represents the sides and (x) represents the height of the box).

2. If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the

The movement that makes this object is a uniformly varied movement, because it is subject to the acceleration of gravity. In these types of movement, the position of the body with respect to time, is described by a quadratic function of the form:

From the beginning of time the origins of the function has always remained a mystery to mankind. With countless hours dedicated to unraveling the truth behind the function I was able to decipher the parent function of f (x) = -1/2 (x+3) 2 -4. Starting with the most recent discovery I have determined that if a function is negative then it will be going down. Through more research I have came to the conclusion that if the leading coefficient is smaller than one then it is a vertical shrink, and if it is larger then it is considered a vertical stretch. The number in the parentheses determines how many points you move in the opposite direction. As the final analysis of finding the parent function I have identified that the number at the very end of the equation tells you how many points you move up or down.

Natalie receives a utilities bill for $45. The bill is for utilities consumed by Natalie’s business during November and is due December 15.

As we know the zeros of Y2, it will be very easy to determine the complex zeros of Y1. 2 will equal to the real part of the complex zeros of Y1, and subsequently, ±3 will equal to the imaginary part of the complex roots. Although, as we know that y-axis is the imaginary axis, the imaginary parts of the complex roots obtained, of the Y1, will be plot according to the y-axis.

information in the analysis. The Appendix to this teaching note contains a discussion of these

Its slope is negative, shape is concave or bowed, points inside are inefficient, a point on the PPF are efficient and attainable, point above are unattainable and also require economic growth.

Interpolation is important concept in numerical analysis. Quite often functions may not be available explicitly but only the values of the function at a set of points, called nodes, tabular points or pivotal points. Then finding the value of the function at any non-tabular point, is called interpolation.

The topic selected is based on measurements of different aspects of mathematics to identify and/or quantify a particular set of data. The reason for picking out these articles as they connect to one another and logical progression carries along as students’ progress further in their study of different dimensions in mathematics. For identifying problems, the student should have a strong background in a particular subject which connects these parts on a step by step basis.

The dynamic programming model was then translated into a simulation user interface, which can be controlled by individual agents, the dynamic climate change simulator with stochastic and irreversible climate change (DCCS-SICC). It was built on the DCCS climate change simulation of Dutt and Gonzalez (2012) and was based on previous work by Gonzalez and Dutt (2011) and Moxnes and Saysel (2009). The user interface presents a single state variable (CO2 concentration in the atmosphere), two sliders for controlling the levels of CO2 emissions from fossil fuel and from deforestation, and a graph depicting the accumulation of CO2 in the atmosphere over time. This simple climate change model was calibrated between years 2000 and 2100 with projections given by two different and extreme emission scenarios from the 2001 IPCC report. Furthermore, the Integrated Science Assessment Model (ISAM) was employed to predict CO2 concentrations in the atmosphere under two emission scenarios. The model calibration parameters are derived from Dutt and Gonzalez (2012). The participants’ aim is to maintain the CO2 concentration within the range of 923-953 GtC, which appear on the screen. Participants are asked to achieve the minimum value of the range at the shortest time possible and maintain the CO2 concentration level within the range for the longest time possible. The model was calibrated using two emission scenarios: the “optimistic” and “pessimistic” scenario based on the 2001 IPCC report

"Cubic equation and intersection of conic sections" the first page of two-chaptered manuscript kept in Tehran University.

There has always been different body sizes and shapes. Nothing almost nevers comes in the same size. After the Industrial Revolution there has a been push to make items faster, more efficient, and of course, cheaper. To do so, good quality is often then sacrificed. Food products are produced in plastic packaging and contain added chemicals for shipping and longer shelf life. This is quite effective in times of war for the convenience, but that was over 50 years ago and we’re still doing the same thing. The American population is gaining weight at a rapid rate. While many children is other countries starve from a malnourished diet; American children feast on large amounts of unhealthy and fattening food. The number of overweight and obese children in America has increased at an alarming rate over the past years, and there is no chance of it slowing down unless action is taken. A fast-food craze has swept over the country, consequently leaving a trail of poor nutrition in its path. Fast-food corporations seem to be encouraging children to consume regular amounts of unhealthy foods by giving away toys with the purchase of a kids meal. Many electronics such as IPhones, computers and video games have screened the importance of exercise. These influences can lead to childhood obesity, which in turn leaves an overwhelming abundance of negative effects. Obesity puts children at a high risk of developing many serious illnesses. Not only do children