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Hey, so the correct answers are below but I need a detailed explanation for all parts. 9. Given the plane curve r(t)=ti+sin(t)j. a. Find the

Hey, so the correct answers are below but I need a detailed explanation for all parts.

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9. Given the plane curve r(t)=ti+sin(t)j. a. Find the unit tangent and unit normal vectors at t=/4. Hint: for N just rotate T appropriately. T=3 N=3 b. Find the center of the osculating circle. (23+4,2)

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