MATH 234 Midterm: 234 fall14 Test 1
15 Feb 2019
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Instructions: read each problem carefully, write legibly, show all your work on these sheets, make sure that your nal answer is clearly indicated. presented then the average of the points for each answer will be given! If two answers are: this exam has 6 pages, and 5 problems. Before starting the exam, please check that your copy contains all of them and obtain a new copy of the exam immediately if it does not: you may not use books, notes or calculators. Calculate the following iterated integral by rst reversing the order of integration. A lamina with density (x, y) = 1 x2+y2 occupies the rst quadrant of the region 1 x2 + y2 4. Find the total mass and the center of the mass of the lamina. Find the volume of the solid tetrahedron bounded by four planes x = 0, y = 0, z = 0 and x + 2y + z = 2.
