lab
...o the equation f(x) = x+ |cos(x)|. Next we used Maple to find the least squares line. Then we created a figure that most closely represents the points that we generated from the equation and our table of values. We repeated this step for three other values of p and made three other graphs. 1. Yes the graph that we made for p = x was a good linear approximation to the graph y = f (x) near the points (p, f (p)). 2. Figure 4 is the graph for p = Ð/2 and is not a good approximation of the line y = f (x) near the points (p, f (p)). 3. Figure 1 is the graph for p = 2 is a good approximation y = f (x) near the points (p, f (p)). 4. Figure 2 is the graph for p = 1 is a good approximation y = f (x) near the points (p, f (p)). 5. Figure 3 is the graph for p = 3 is a good approximation y = f (x) near the points (p, f (p)). Here are the tables of values used in this project. P=2 1.9 1.95 2 2.05 2.1 2.223 2.32 2.414 2.511 2.60 P=1 .90 .95 1 1.05 1.1 1.52 1.53 1.54 1.547 1.55 P=3 2.9 2.95 3 3.05 3.1 3.87 3.93 3.989 4.0458 4.099 P= Ð/2 1.4707 1.5207 1.5707 1.6207 1.67 1.56 1.57 1.57 1.57 1.66 ...