MATH 53 DISCUSSION SECTION PROBLEMS – 3/31 – SOLUTIONS JAMESROWAN 1. Triple integrals (1) True/false practice: (a) There is no way to interpret any triple integral using only three-dimensional geometry. False. An important application of triple integrals to three-dimensional geometry is in nding the volumes for regions, since the volume of the region E is given by RRR 1dV . RRR E (2) (textbook 15.6.9) Evaluate the triple integral E ydV, where E = {(x,y,z)|0 ≤ x ≤ 3,0 ≤ y ≤ x,x−y≤z≤x+y}. Translating the description of the region as a set ...
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