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6.8. verify that u(x; y)=asin(2px) sin(2py) solves poisson’s equation ñ2u= onw = (0; 1)(0; 1) for some a-value, where r(x; y) = sin(2px) sin(2py). (a) find the correct a value. (b) compute the total source s = rr w rda: (c) compute the flux out through the top part of w (y = 1) and verify by symmetry that it is one-quarter that of the full source s.
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The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %
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6.8. verify that u(x; y)=asin(2px) sin(2py) solves poisson’s equation ñ2u= onw = (0; 1)(0; 1) for so...
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