Operation Manual

Chapter 17: Activities 319
2. The graphs are displayed as each calculation of the integral and derivative occurs at the pixel point,
which may take some time.
3. Press r. Notice that the functions appear identical, only shifted vertically by a constant.
4. Press o. Enter the numerical derivative of
Y5 in Y6.
5. Press r. Notice that although the three graphs defined by Y5 are different, they share the same
derivative. The graph of Y6 takes time to graph since the numerical derivative is being calculated
for each point before it graphs.
Computing Areas of Regular N-Sided Polygons
Problem
Use the equation solver to store a formula for the area of a regular N-sided polygon, and then solve for
each variable, given the other variables. Explore the fact that the limiting case is the area of a circle, pr
2
.
Consider the formula A = NB
2
sin(pàN) cos(pàN) for the area of a regular polygon with N sides of equal
length and B distance from the center to a vertex.
N = 4 sides
N = 8 sides
N = 12 sides