Exercise 05.

Discursive Answer

The curves with equations of form  y = abs(x) / sqrt(c – x^2) are named bullet point curves.   Plot some graphics of this type to see why this name.  What happens when c value grows? [Stewart, 2001]

This exercise require a discursive answer based on the observation of a series of graphics; this is an ideal situation to use animation.   Right-click the drawing area and turn on the parameter c.   Modify its initial value ... modify yet the value of a to understand the influence of c.

[  1.a  |   1.b  |   2.a  |   2.b  |   3.a  |   4.a  |   4.b  |   5.a  |   5.b  |   6.a  |   6.b  |   6.c  |   6.d  |   7.a  ]