Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = 0 C = -4 e = 0 ·b ed Volume = SSS se (b) Cylindrical: With a = 0 c = 0 e = 0 Volume = SS S (c) Spherical: With a = C = e = Volume = SSS b= d = 4 and f= b= 2pi and f= 4sqrt3 4sqrt3 b sqrt(4-x^2) d = 4/3 = d= and f = d d (1/sqrt3)z d d d d d d

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