Let r(t) (t2 + 1)i+ 4tj define a space curve in R2 for t 0. A. Sketch a graph of this curve. B. Sketch T(1) and N(1) on the curve. You do not need to actually find these vectors, just use what you know about them to show a sketch on the graph. C. As t increases, is the curvatuve, K, increasing, decreasing or remaining constant? Briefly explain your choice. Note that you do not need to find curvature to answer this question.

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