(a) Plot the spiral r() for 0 8 (b) On your plot, shade in the region that represents the increase in area enclosed by the curve as goes from 6 to 8 Compute the shaded area (c) Show that the increase in area enclosed by the graph of r() as goes from 2n to 2(n 1) is 8n ...

a A graph of r with the region requested in part b shaded is below b The ...

(a) Plot the spiral r() = for 0 8. (b) On your plot,...

Question:

(a) Plot the spiral r(θ) = θ for 0 ≤ θ ≤ 8π.
(b) On your plot, shade in the region that represents the increase in area enclosed by the curve as θ goes from 6π to 8π. Compute the shaded area.
(c) Show that the increase in area enclosed by the graph of r(θ) as θ goes from 2nπ to 2(n + 1)π is 8n.

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