Statistics Solutions

[See Steps] Let S be the intersection of the sphere with radius 2 centred at the origin, and the first octant (x, y, z): x ≥q 0, y ≥q 0, z ≥q 0

Question: (3 points) Let \(S\) be the intersection of the sphere with radius 2 centred at the origin, and the first octant \(\{(x, y, z): x \geq 0, y \geq 0, z \geq 0\} . S\) is oriented such that the normal vector points away from the origin. Let \(C\) be the boundary of \(S\) with an orientation cosistent with the orientation of \(S\) by the right-hand rule. Using Stokes' Theorem, find \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) where

\[\mathbf{F}=\left(\left(4-y^{2}-z^{2}\right)^{\frac{3}{2}}\right) \hat{\mathbf{i}}+\left(\sin (y)+e^{\sin (y)}\right) \hat{\mathbf{j}}-\left(x^{2} z\right) \hat{\mathbf{k}} .\]

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in