CHM 1470 eiavai pnirlable paitgeno Baslo-ni er not bee Graphing Exercise neMD OMin o 1okuneniMoY hHo nwonU ettl gnieu 199itchseve leox ns bng easio ponub bib uoy Talimie roqua dgng no buad yd dgang a rlgno loxadT eleb n The following data was collected in the lab. Using a pencil and a piece of graph paper, construct a graph of the data. The independent variable (x-axis) is volume and the dependent variable (y-axis) is mass. Make sure to completely label your graph. There should be a title for the graph, and the axes should be labelled including the variable name and units in parentheses. Note the graph should fill about 80% of the page to properly analyze the data (see any trends). (The y-axis should range from about 100 – 150, not 0 - 150) Iniupil rwontou ol Volume (mL) Mass (g) 115.05 124.10 130.01 138.98 148.00 10.50 21.00 29.50 38.00 51.00 Mass refers to the mass of a graduated cylinder plus its contents. Volume refers to the volume of liquid, labeled A, which was measured in the graduated cylinder. 1. Draw the best fit curve or best fit line using a ruler. 2. Determine the following information using your graph. a. The slope of the line (Show calculations) wo ll no beinhg ed bluone palimdue danp orfT olgnmaxe eirt vole rigenp bos loenabeeige uCy lsbo woled betal ons estubeco19i9ox1o nemmtue Asp b. The y-intercept amuloo bnoo (Circle on graph) bluone bns 2xe y at no beriqeng sd of eldshav insbiogeb enT 2 t no beieli ed bluorie eixs xed no berlgenp sd of oldshev c. The equation that describes the line on the graph. sbriogeb art Insbaegabni eil brus nmu ng ed of oldsr l bas 33 of SA allso iginoir sisb odomg oT

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.