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categoryالفيزياء
schoolبكالوريوس
event_available2026-07-15
السؤال
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9.
-/1 points SCalcET7 16.7.026.
Evaluate the surface integral
positive (outward) orientation.
My Notes + Ask Your
F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the
Sh*
F(x, y, z) = xz i +xj+yk
S is the hemisphere x² + y² + z² = 25, y ≥ 0, oriented in the direction of the positive y-axis
My Notes
Ask Your
F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the
10.
-1 points SCalcET7 16.7.028.
Evaluate the surface integral
positive (outward) orientation.
5
F(x, y, z) = xy + 12x² j + yz k
S is the surface z = xey, 0 ≤ x ≤ 1, 0 ≤ y ≤ 3, with upward orientation
11.
-1 points SCalcET7 16.7.030.
My Notes
Ask Your
Evaluate the surface integral
positive (outward) orientation.
F⚫ ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the
F(x, y, z) = xi+yj+8k
S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 2
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