Question: Question # 4. 20 + 1 (a) Calculate the arc-length of the curve y = 2ex over In(3), In (5) ]. (b) Calculate the arc-length

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Question # 4. 20 + 1 (a) Calculate the arc-length of the curve y = 2ex over In(3), In (5) ]. (b) Calculate the arc-length of the curve (x, y) = (1 + 3t2, 4 + 2+3) for 0 0) meaning that the pole is on the spiral in the limit. Show that the arc-length along the spiral from the polar point (1, 1) to the pole is finite. Hint: Set up an improper integral to represent the arc-length. Remember, we only need to show the arc-length is finite, we don't need the specific value to show this. So can you recall any results in 21 that could help
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