Unformatted text preview: x 2 and x = y 2 . 7. (SET UP DO NOT CALCULATE) Find the Center of the mass of the Lamina that D is bounded by the parabola y = 9-x 2 and x-axes if the density at each point ( x, y ) is the distance between ( x, y ) and y-axes. 8. Given the integral Z Z R x y dA where R is the region in the xy-plane bounded by the lines y =-2 x + 4 y =-2 x + 7 y = x-2 y = x + 1 . (a) Calculate the Jacobian of the transformation u = x-y and v = 2 x + y . (b) Sketch the uv-plane under transformation. (c) (SET UP DO NOT CALCULATE) the double integral Z Z R x y dA...
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- Winter '08
- Math, dz dy dx, Murat Atmaca, Murat Atmaca Winter