MATH 215 Midterm: exam2f10

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31 Jan 2019
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On problems 3, 4 and 5 you can get partial credit. 1 x2 dx = arctan( x) + c t ru e/f alse. Z cos(cos x)dx = sin(cos x) sin x. T ru e/f alse (c) the double integral of the function f (x, y) = x2 y over the triangle with corners (0, 0), (1, 0), (0, 1) is equal to. T ru e/f alse (d) suppose that ~f and ~g are conservative vector elds on r3. True/false (e) the integral of the function f (x, y) = x2y2 over the disc x2 + y2 1 is equal to. T ru e/f alse (f) the area of the disc x2 + y2 1 is equal to rc ydx + 2xdy where c is the circle x2 + y2 = 1 counterclockwise. true/false. No partial credit (a) the point (x, y) = ( 2, 2) find the corresponding coordinates (r, ). (b) the point (r, ) = (2, 2 /3).

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