The canopy shown in Figure 14.58 is the part of the hemisphe

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The canopy shown in Figure 14.58 is the part of the hemisphere of radius p2 centred at the origin that lies above the sq

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The canopy shown in Figure 14.58 is the part of the hemisphere of radius p2 centred at the origin that lies above the square ?1 x 1, ?1 y 1. Find its area. Hint: It ispossible to get an exact solution by first finding the area of the part of the sphere x2 C y2 C z2 D 2 that lies above the plane z D 1. If you do the problem directly by integrating the surface area element over the square, you may encounter an integral that you can

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