LetW be the region in R3 inside 1’2 + :92 = 1 that is below; = 3 _ x2 _ 3,2 and abovez : 4 le + y2 . More precisely, W2{($1y72)1m2 +312 S 1, V922 +11;2 S 2 5 3—302 —y2}.

LetW be the region in R3 inside 1’2 + :92 = 1 that is below; = 3 _ x2 _ 3,2 and abovez : 4 le + y2 . More precisely, W2{($1y72)1m2 +312 S 1, V922 +11;2 S 2 5 3—302 —y2}.
(3) Sketch the region W. (b) Consider a fluid of density Mm, y, z) = 5 (measured in g/in3) flowing with velocity ”(1,34, 2′) I (311W2 _ 622193 _ 9300431133 — 93) measured in in/s‘ Find the total amount of fluid (in grams) that crosses the boundary of Wflowing in the inward direction after 2 seconds. (c) If you did things correctly, the answer you got in (b) is negative. What is the physical interpretation for this negative sign?

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