1. Find * (tin(t)i + 1) dt (6 pts) 2. Find the exact arc length of...

 

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1. Find * (tin(t)i + 1) dt (6 pts) 2. Find the exact arc length of the curve r(t) = (t2, 2t, In(t)) on the interval [1,4]. (4 pts) 3. Let r(t) = (3t, 5t2, 17). Find the curvature at the point (6, 20, 17). (4 pts) 4. Find the point on the graph of y = In(sin(x)) in the interval (0,) where the curvature is maximum. (6 pts) 1. Find * (tin(t)i + 1) dt (6 pts) 2. Find the exact arc length of the curve r(t) = (t2, 2t, In(t)) on the interval [1,4]. (4 pts) 3. Let r(t) = (3t, 5t2, 17). Find the curvature at the point (6, 20, 17). (4 pts) 4. Find the point on the graph of y = In(sin(x)) in the interval (0,) where the curvature is maximum. (6 pts)