Question: please help me answer this question WARNING: This problem has a couple of curveballs in it. I've given some hints to mitigate that, but please

please help me answer this question

please help me answer this question WARNING: This problem has a couple

WARNING: This problem has a couple of curveballs in it. I've given some hints to mitigate that, but please do set it aside and come back to it later if you get stuck on your rst attempt. Consider the curve with parametrization given by: r(t) : (2t,et,e_t) fort e [0,oo) t t 0 Now re-parametrize the same curve by arc length. Hint: 8 36 = Sinh(t) that's the hyperbolic sine function. 0 If start at the point (2, 0,0) and follow this curve for 6 units of length, where will you be? You can leave the hyperbolic functions where they are- that is, you don't need decimal answers for this. - EXTRA CREDIT (+5 Points): Find the curvature of this curve. Hint: You'll need the inverse of the hyperbolic sine for this...and its derivative. Those are in your textbook. As is the case for ALL PROBLEMS ON THIS EXAM make sure you submit a clear, complete, and detailed solution

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