APPM 1350 Midterm: appm1350fall2017exam3_sol

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31 Jan 2019
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Fall 2017: (30 pts) evaluate and fully simplify all answers. e dt dx x ln(x2) (a) z 3p1 + t. 4 (cid:12)(cid:12)sin3( ) + cos2( ) sin( )(cid:12)(cid:12) d (d) consider the function f (x) = z x2. Solution: (7 pts) let u = 1 + t, du = dt/(2 t). (a) T dt = z 2u1/3 du = 2 . + c . (b) (7 pts) let u = ln x, du = dx/x. When x = e, u = 1 and when x = e2, u = 2. 2 x ln(x2) dx = z e2 e. 1 = ln 2 ln 1 = ln 2 . (c) (8 pts) 4 (cid:12)(cid:12)sin3( ) + cos2( ) sin( )(cid:12)(cid:12) d = z. Solution: (a) (3 pts) (0, 3), (6, 7) (b) (3 pts) t = 4 sec (c) (3 pts) below (d) (6 pts) vave =

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