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Pascal’s snail (named after E´ tienne Pascal, father of Blaise Pascal) is the shape shown in the figure, defined by R= b(1 + cos θ) in polar coordinates.
(a) Make a rough visual estimate of its area from the figure.
(b) Find its area exactly, and check against your result from part a.
(c) Show that your answer has the right units. [Thompson, 1919]
Figure 9.9 Problem 1: Pascal’s snail with b = 1.
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