Answer Happy

Let W1 be the solid half-cone bounded by z=sqrt(x^2+y^2),z=5 and the yz-plane with x≤0, and let W2 bethe solid half-cone bounded by z=sqrt(x^2+y^2), z=3 andthe xz-plane with y≤0.
For each of the following, decide (without calculating itsvalue) whether the integral is positive, negative, or zero.
(a) ∫W2 (x^2+y^2)3/2dV is ? positive negative zero
(b) ∫W2 sqrt(x^2+y^2)dV is ? positive negative zero
(c) ∫W1 xdV is ? positive negative zero
(1 point) Let W₁ be the solid half-cone bounded by z = √x² + y², z = 5 and the yz-plane with √x² + y², z = 3 and the xz-plane x ≤ 0, and let Let W₂ be the solid half-cone bounded by z = with y ≤ 0. For each of the following, decide (without calculating its value) whether the integral is positive, negative, or zero. (a) /w₂ √√x² + y² dV is negative (b) √w₂ √√x² + y² dV is positive (c) w₁ x dV is positive