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234-dickey-08spex03 - YOUR NAME T.A's NAME DISC SEC(TIME...

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Unformatted text preview: YOUR NAME T.A.'s NAME DISC. SEC. (TIME AND DAY) Show all your work. No calculators or references. 1.(2o points) 2.(2o points) . 3.(20 points) . 4.(2o points) ’ '5.(20 points) ' 1. Evaluate l/x2 + y21 dz dy dx DMD) N 0mm 2. Evaluate j]! x2 + y2 dV D where D is the solid bounded by the paraboloid z = 9 - x2 — y2 and the xy plane. 3. Evaluate fff (x2 +y2) (N D where D is thehemispherical region lying above the xy plane and below the sphere x2 + y2 + z2 = 1. 4. Find the centroid for the semi-circular wire x2 + y2 = 4 and x _>_ O. /\ 5. Find the work done Aby the force F= xy? + yz j + zx k over the path r(t)= tn+t21+t3 kwnho<t<1 ...
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