Question

J-2 J-V4-z² Ji 26. Let be the region below the paraboloid x2 + y? = z – 2 %3D that lies above the part of the plane * + Y + z = I in the first octant. Express f (x, y, z) dV as an iterated integral (for an arbitrary function J). 27. Assume J (ª, Y, 2) can be expressed as a product, f (x, y, z) = g (x) h (y) k [a, b] × [c, d] × [P, q] can be expressed as a product of integ over a box
QUESTION 26 AND 31 PLEASE SHOW STEPS THANK YOU SO MUCH

Answer 1

$\text{Solution:}$

$\text{26.}$

$\text{I}=\int_0^1\int_0^{1-x}\int_{1-x-y}^{2+x^2+y^2}f(x,y,z)\mathrm{d}V$

$\text{31.}$

$\text{I}=\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x ^2}}\int_{\sqrt{x^2+y^2}}^{1}f(x,y,z)\mathrm{d}z\mathrm{d}y\mathrm{d}x$