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Calculus Resources

Vivani’s Curve is formed by the intersection of a sphere of radius, r, and a cylinder tangent to the sphere, which passes through the center of the sphere x^2+y^2+z^2=4r^2    ...

Set up (No need to solve) a double integral for the volume of the solid region E={(x, y, z) : z <= 4 – x^2 – y^2 ; x + y + z >= 1; x + y <= 1} .  Do this by making a transformation...

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