MAT-1120 Final: MATH 1120 App State Spring2009 Final Exam answer key
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1a. (12 points) approximations (a) let f (x) = x + 3, a = 2, b = 4, and n = 3. Find the mid-point approximation of r 4 (don"t worry about simplifying). So x0 = a = 2, x1 = x0 + x = 2 + 2 = 0, x2 = x1 + x = 0 + 2 = 2, X = and x3 = b = 4. We want midpoints so half-way between x0 = 2 and x1 = 0 is x x2 = 2 is x . 2 = 1, and half-way between x2 = 2 and x3 = 4 is x . 1 = 1, half-way between x1 = 0 and. 3)) = 2(cid:0) 1 + 3 + 1 + 3 + 3 + 3(cid:1) = 2(cid:16) 2 + 2 + 6(cid:17) (b) same setup as in part (a). Our function is f (x) = x + 3.
