Math Lab

The area in question is located on the lawn between Powell Residence Hall and Weinbach Ave and across from Hale Residence Hall. The known elevation is 380’ and is located on the sidewalk outside Powell. First using the Total Station, our group gathered the information for the distances between points. With one person holding the prism reflector and another operating the Total Station, the distance between two points can be measured. Each set is measured multiple times with an average taken. The averages between points 1 and 2 is 96. 930 ft., 2 and 3 is 120.267 ft., 3 and 4 is 103.528 ft., and 4 and 1 is 99.597 ft. Next with the Total Station, the angles can be measured between points. The zero line is set, then the rod person moves clockwise to the

Now the x - coordinate value of the vertex this time I can use to find the y – coordinate of the vertex.

     Then I tried to work with the equations I already had, from the other two. I started with the first, X/2-1=Y and I thought, if I were to add the other variable (which I called I, standing for interior) where would it go in? So I tried placing it in the equation, because I saw that it would fit in, and make sense. So I had X/2-1+I=Y . This worked beautifully. I tried plugging-in different values to checked it from my table, and they worked. So I have the answer.

2) Draw a line 5 cm long and label the points A and B (.

This formula used the points (2, 14.5) and (7, 14.0). Then, just substitute the slope for m and the y-intercept, or 14.7, for b. This gives you the formula t= -0.1w + 14.7. However, Ryan’s information is given in a table:

On lab 3 “What does ‘random’ motion look like? Describing diffusion and random motion”, we were able to see the random motion of various beads suspended in fluids of varying viscosity. We also identified how the motion of the beads differ based on bead size, bead mass, and the fluid viscosity. Furthermore, the impact of the parameters on the diffusion were studied. Based on their diffusion the random motion of the various beads was analyzed. Overall, even if there were many errors while doing the experiment we were able to know what random motion look like and it was possible to see the relationship between the parameters and the diffusion of the beads. To reduce the amount of errors occurring during doing the experiment

These functions were entered into the graphics calculator and were both found to have x-intercepts of 0.25 or 14 . A value for ‘C’ was added in the form of y=lnB(x+C) to create a horizontal shift. A positive C value moves the function to the left and negative moves it to the right. As the current x-intercept is 0.25 and the wanted x-intercept is 3.5, the function y=ln4(x-3.25) was created. This function was then simplified to y=(4x-13). The result is shown below.

[p - z * SE, p + z * SE] = [0.06364 - 2.576 * 0.0164, 0.06364 + 2.576 * 0.0164]

can only be computed if there is a strong linear relationship exists between x and y

Y= -1.51x1 +(-2.57)x2 +1.24x3 +9.60x4 +75.46. The equation for multiple regression is Y=B1x1 +B2x3 +B4x4 +a, where Y is the dependent variable, b is the coefficient, a is the constant and x is the independent variable.

For the case of three variables, the simplest linear regression equation of X1 on X2 and X3 has the form

for(int i = xAxis + 1, j = yAxis + 1; i <= x && j <= y; i++, j++) {

where h, w and area are the height, width and area of the segment’s axes aligned bounding box respectively, and hmin , hmax , wmin ,wmax and areamin are parameters of the module.

The equation of the line in run 1 between the two points is y – y1 = m(x – x1)

9 (b) Plot a graph of distance moved in centimetres (vertical axis) against time t in seconds (horizontal axis) on the grid provided. Draw a smooth curve through the points. [3]