# 410. [V] The transformation T.1.1: R3 R3, Tk,1,1 (u, v, w) = (x, y, z) of... 410. [V] The transformation T.1.1: R3 R3, Tk,1,1 (u, v, w) = (x, y, z) of the form x = ku, y = 0, z = w, wherek #1 is a positive real number, is called a stretch if k > 1 and a compression if 0 <k < 1 in the x-direction. Use a CAS to evaluate the integral e-(4x2+9y?+252) dx dy dz on the solid S = {(x, y, z)|4x² +9y2 + 25z< 1} by considering the compression T2,3,5 (u, v, w) = (x, y, z) defined by x = , y = , and z = . Round your answer to four decimal places.

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