Find the volume of the solid enclosed by parabolic surfaces

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Reference no: EM131013256

1. Evaluate integrate ∫∫_Re^{x^2+y^2} dA , where R is the semi-circular region bounded below by the x-axis and above by the curve y = √(1-x²)

2. For each of the following, set up a triple iterated integral to find the volume of the solid enclosed by the parabolic surfaces z = x² + 3y² and z = 8 - x² - y² . You do not need to integrate.

Reference no: EM131013256

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