MATH 0220 Midterm: Math 0220 Math0220-05-1-230
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Math 0220 sample final 2: let ~a = h2, 1i and ~b = h1, 3i. (3 pts. ) Find the unit vector in the direction of ~b. (4 pts. ) Find all values of t such that ~a is perpendicular to ~c = h 4, 8ti. (5 pts. ) Give a parametric vector equation for a circle of radius 9 with the center at the point (1, 2). (5 pts. ) The trajectory of an object is determined by. ~r(t) = h2t, 2t2 + 16ti where < t < . Eliminate the parameter t and nd an equation in x and y that describes the curve on which the object moves. 2: let f (x) = x(x 1)2, < x < . (10 pts. ) Find all points where f has a local maximum or local minimum. 3 (10 pts. : find x2, the second iterate in newton"s method, to nd an approximate value for the negative solution of x4 = 10100.
