Question

Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that...

Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that lies in front of the plane x = 0.

(a) What is its mass if its density is ρ(x, y, z) = y^2 + z ^2 g/cm^2 ?

(b) What is its surface area?

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