MATH 113 Midterm: MATH 113 BYU KeyF2008A
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Fill in the answer to each problem on your scantron. Make sure your name, section and instructor is on your scantron: here is a series. Solution: e: compute the sum a) d) 5: the series diverges by the root test. 4: a parameterization of the part of the hyperbola x2 , x = cosh (t) , y = sinh (2t) , t r. = 1 for x > 0 is y2. 0 a) d) x3 cos(cid:0)x2(cid:1) dx sin (1) . 6 sin (1) + c: none of the above, find the rst four terms of the power series for (1 + 2x)1/2 a) 1 : none of the above. b) 27 x3: find the interval of convergence of the power series. 3: the series converges for all values of x. c) , 0) f) ( 3, 3: find the area between the graphs of y = sin (x) and y = cos (x) for x [0, /2] . a)
