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(a) Consider the polar curve, r = e'a. Determine (with justication using the techniques from our lessons) how many points there are where the tangent

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(a) Consider the polar curve, r = e'a. Determine (with justication using the techniques from our lessons) how many points there are where the tangent line to the curve at that point is vertical. (b) Determine all points on the parametric curve, a: = 2 sin(t) y : 2 sin(t) cos(t) where the line tangent to the curve is horizontal. Be sure to carefully justify your calculations

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