MATH 0220 Final: Math 0220 finalpracticeS05-264

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31 Jan 2019
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2. the point p (1, 2). (b) the trajectory of an object is determined by. ~r(t) = h2t, 2t2 + 16ti where t . Justify your answers. (b) find all in ection points. Justify your answer. (c) graph the function: find x2, the second iterate in newton"s method, to nd an approximate value for the negative solution of x4 = 10100. Show all details. (a) find the equation for the line tangent to y = x1/4 at x = 10000. 5. (10000)1/4 = 10. (b) use the tangent line found in part (a) to obtain an approximate value for (10100)1/4. 6. (a) evaluate lim x 0 (b) evaluate lim x 3 x. |x 3| x 3 (c) evaluate lim x 1 arctan (tan (2x 5)) 2x 5 (d) evaluate lim x ln(cid:16)1 + 3 x3(cid:17) x2(cid:17) sin(cid:16) 4 (e) evaluate lim x 0 x2 ln (x2)

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