Logarithmic Spiral The curve represented by the equation where and are constants, is
Chapter 10, Problem 80(choose chapter or problem)
The curve represented by the equation \(r=a e^{b \theta}\), where \(a\) and \(b\) are constants, is called a logarithmic spiral. The figure shows the graph of \(r=e^{\theta / 6}\), \(-2 \pi \leq \theta \leq 2 \pi\). Find the area of the shaded region.
Text Transcription:
r = a e^b theta
a
b
r = e^theta/6
-2 pi leq theta leq 2 pi
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