5. Consider the circle pictured in Figure 2.1.14 that is centered ta the point (2,2) and that has circumference 8. Suppose that we track the x-coordinate (that is, the horizontal location, which we will call k ) of a point that is traversing the circle counterclockwise and that it starts at P0 as pictured. Figure 2.1.14. A point Figure 2.1.15. Axes for plotting k as a function of d. traversing the circle. Recall that in Activity 2.1.2 we identified the exact and approximate vertical coordinates of all 8 noted points on the circle. In addition, recall that the radius of the circle is r=281.2732. a. What is the exact horizontal coordinate of P0 ? Why? b. Complete the entries in Table 2.1.16 that track the horizontal location, k, of the point traversing the circle as a function of distance traveled, d. Table 2.1.16. c. By plotting the points in Table 2.1.16 and connecting them in an intuitive way, sketch a graph of k as a function of d on the axes provided in Figure 2.1.15 over the interval 0d16. Clearly label the scale of your axes and the coordinates of several important points on the curve. d. What is similar about your graph in comparison to the one in Figure 2.1.7? What is different? e. What will be the value of k when d=51 ? How about when d=102 ? 5. Consider the circle pictured in Figure 2.1.14 that is centered ta the point (2,2) and that has circumference 8. Suppose that we track the x-coordinate (that is, the horizontal location, which we will call k ) of a point that is traversing the circle counterclockwise and that it starts at P0 as pictured. Figure 2.1.14. A point Figure 2.1.15. Axes for plotting k as a function of d. traversing the circle. Recall that in Activity 2.1.2 we identified the exact and approximate vertical coordinates of all 8 noted points on the circle. In addition, recall that the radius of the circle is r=281.2732. a. What is the exact horizontal coordinate of P0 ? Why? b. Complete the entries in Table 2.1.16 that track the horizontal location, k, of the point traversing the circle as a function of distance traveled, d. Table 2.1.16. c. By plotting the points in Table 2.1.16 and connecting them in an intuitive way, sketch a graph of k as a function of d on the axes provided in Figure 2.1.15 over the interval 0d16. Clearly label the scale of your axes and the coordinates of several important points on the curve. d. What is similar about your graph in comparison to the one in Figure 2.1.7? What is different? e. What will be the value of k when d=51 ? How about when d=102