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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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Question 2 (4+4 points)
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Let E be the region in space enclosed by the cylinders x2 + 2 = 1 and y²+z² = 1.
You can visualize the top-half this region as a "dome tent" with four flaps (see figure
below).
a) Set a (double) integral for the volume of E to the point that you could have
1
a) Set a (double) integral for the volume of E to the point that you could have
1
Wolfram Alpha (or somebody else) evaluate the integral. In other words, clearly
indicate all of the limit points and the function(s) over which you integrate.
b) Evaluate the integral you set up in part a).
NOTE: You might want to use symmetry!
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