20. A particle moves in the xy-plane so that its position for 20 is given by the parametric equations x = In (t + 1) and y = kr², where k is a positive constant. The line tangent to the particle's path at the point where t = 3 has slope 8. What is the value of k ? 1 (A) (B) 192 113 (C) 43 (D) 16 63

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