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Plane and The Package
Suppose a plane moving along with a constant speed at an elevated height above the Earth's surface. Within the course of its flight, the plane drops a package from its luggage compartment. What will be the path of the package and whereas will it be along with respect to the plane? And how can the motion of the package be described? The animation below depicts such a condition. The path of the plane and the package are displays; further, the velocity components (horizontal and vertical) are represented through arrows within the animation.
Determine the surface integral for the vector function over the surface S. where S is the surface of the unit cube bounded by x=0, x=1, y=0, y=1, z=0, z=1.
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