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Given the curve r(t) = (cost, sin t, In (cost)) Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the

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Given the curve r(t) = (cost, sin t, In (cost)) Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the unit normal. 3. binormal vector. 4. the curvature for this curve. 5. equation of the normal plane. 6. equation of osculating plane. 7. find the length of the curve from P(1, 0, 0) to Q ( 1/V2, 1/V2, In (1/V2 ))

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