(10 points) Consider the polar equation of the spiral $r = \theta$. (a) (5 points) Find the slope of the tangent line to this spiral when $\theta = \pi/4$. (b) (5 points) Find the area of the shaded region in the figure above.
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Step 1: The polar equation of the spiral r = 0 represents a point at the origin, as the radius is always 0. Show more…
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