[All Steps] Find the total flux upward through the upper hemisphere (where z ≥q 0) of the sphere x^2+y^2+z^2=a^2 of the vector field T(x, y, z)=
Question: Find the total flux upward through the upper hemisphere (where \(z \geq 0\) ) of the sphere \(x^{2}+y^{2}+z^{2}=a^{2}\) of the vector field
\[\mathbf{T}(x, y, z)=\left\langle\frac{x^{3}}{3}, y z^{2}+e^{\sqrt{x z}}, z y^{2}+y+2+\sin \left(x^{3}\right)\right\rangle\]
Deliverable: Word Document 
(Steps Shown) Let n be the outer unit normal of the elliptical
![[Solution Library] Rewrite the integral ∫_0^1 ∫_0^2](/images/solutions/MC-solution-library-70545.jpg "[Solution Library] Rewrite the integral ∫_0^1 ∫_0^2 x")
[Solution Library] Rewrite the integral ∫_0^1 ∫_0^2 x
![[Solved] Suppose a vector field is defined](/images/solutions/MC-solution-library-70546.jpg "[Solved] Suppose a vector field is defined by F(x, y, z)=< y^2")
[Solved] Suppose a vector field is defined by F(x, y, z)=< y^2
(Solution Library) Compute the gradient of |r| for r(x, y, z)=
(See Solution) Find an equation for the surface consisting of
Hypothesis Testing (Part 1) - MathCracker.com