MATH 0220 Midterm: Math 0220 Math0220-04-1-229
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A particle moves with speed 2 around a circle of radius 4 centered at (x, y) = (1, 0). Assume that the particle is at (x, y) = (5, 0) at time t = 0. Find the vector equation describing the motion of the particle if it moves clockwise around the circle as t increases. (15 pts. ) The trajectory of an object is described by the vector function. R = (4 + 7t3) i + (1 2t) j, < t < . Assume that x1 = 1: given the function: f (x) = Sketch the graph of the function. (6 pts. each: find the rst derivative of the following functions: 5e. y = x3 ln(x2) (6 pts. each: determine the following limits: | 2 + h| | 2| h. 6b. lim x 0 tan 1(2 + x) tan 1(2) x.
