1. A particle moving along a curve in the plane has position (x(t), y(t)) at time t where dx = 7e* – 2e' and dt dy 21* +t+6 dt for all real values of t. At time t =0, the particle is at the point (–7,2). a) Find the speed of the particle at time t = 0 and its acceleration vector at time t = 0. b) Find the equation of the tangent line to the path of the particle at time t = 0. c) Set up but do not evaluate an expression that would give the total distance traveled by the particle over the time interval 0 < t < 4. d) Find the x-coordinate of the position of the particle at time t = 4.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.