Chapter 7: Additional Applications of Integration
Section 7.1: Polar Coordinates
Example 7.1.9
Graph the roses and .
Solution
The rose is graphed in Figure 7.1.9(a); the rose , in Figure 7.1.9(b). The rose is drawn with ; the rose , with .
Figure 7.1.9(a) The rose
Figure 7.1.9(b) The rose
The rose in Figure 7.1.9(a) with its five "petals" meets expectations for a flower-like shape, but the rose in Figure 7.1.9(b) is certainly a surprise. Indeed, the rose is a translation of the limaçon .
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