Slope of a line

The slope of a line from the intersection point of the feed composition, xp with the 45° line on Figure 8-2 is given by q/(q - 1) = - q/(l - q). Physically this gives a good approximation of the mols of saturated liquid that will form on the feed plate by the introduction of the feed, keeping in mind that tmder some thermal conditions the feed may vaporize liquid on the feed plate rather than condense any. 

Figure 11-4 Illustration of the slope of a line given an x-direction angle of 120°.

You can see this calculation in Figure 6.2. On a concentration-time graph, the average rate of a reaction is represented by the slope of a line that is drawn between two points on the curve. This line is called a secant. 

Strauss Plot R. Strauss (Chem. Eng., pp. 112-116, Mar. 25, 1968) developed a sensitivity plot, in Fig. 9-14, in which the ordinate is a measure of profitabihty and the abscissa is the change in a variable greater than (or less than) the value used in the base case. Where the abscissa crosses the ordinate is the result of the base case of NPW, return, annual worth, etc. The slope of a line on this spider plot is the degree of change in profitability resulting from a change in a... 

If you plot the concentration of product against the reaction time, you might get a curve like the one in Figure 14-1. Reactions usually occur most quickly at the beginning of a reaction, when the concentration of products is the lowest and the concentration of reactants is highest. The precise rate at any given moment of the reaction is called the instantaneous rate and is equal to the slope of a line drawn tangent to the curve. 

Once students have discovered what simulations to conduct and what data to collect, they must next assess how to extract the derivative. For the determination of a, a plot of volume versus temperature produces a line most students make the connection between the slope of a line and the derivative. The interesting part occurs when they plot volume versus pressure and see a curve. Now what While it may take a bit of time, most students realize eventually that they can fit a power series to the curve and take the derivative of the resulting function. This assignment reinforces the concepts students have been studying in the lecture portion of the course and provides an opportunity to see the applicability of the mathematics previously regarded as off-putting or of theoretical use alone. 

The derivative of Eq. (19) represents the slope of a line hence it is rigorously permissible to write... 

The slope of a line measures its steepness. It is found by writing the change in /-coordinates of any two points on the line over the change of the corresponding x-coordinates. (This is also known as the rise over the run.) The last step is to simplify the fraction that results. 

Two methods of finding the slope of a line on a log-log plot. (A) Using the ratio of the number of decades and (B) using the coordinates of two points. 

If you know the slope of a line and one point on the line, you can determine other coordinate points on the line. Because slope tells you the ratio of i rizcmtd change > y°u can simply move from the coordinate point you know the required number of units determined by the slope. 

In introductory geometry classes, the slope of a line is often described as rise over run or Ay/Ax. Use the x- and y-intercept values of a Lineweaver-Burk plot to prove that the slope of the line is KJV . 

We can draw a unique tangent line (a straight line whose slope matches the curve s slope) at each point on the curve. Recall that the slope of a line is defined as the amount y changes if x is changed by one for example, the line y = 3x + 6 has a slope of three. 

Therefore, the device mobility can be calculated in the saturation region from the slope of a line drawn of an Id1 2 vs. Vq plot through the linear part. 

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