Let $\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }$ s and C be the boundary of the surface consisting of $z = 4 - x ^ { 2 }$ in the first octant cut by y = 3, and the coordinate planes. Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A)36
B)40
C)42
D)45
E)48

Question

Let

\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }

s and C be the boundary of the surface consisting of

z = 4 - x ^ { 2 }

in the first octant cut by y = 3, and the coordinate planes. Using Stokes' Theorem,

\int _ { C } \mathbf { F } \cdot \mathbf { T } d s

is

A)36
B)40
C)42
D)45
E)48

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }$ s and C be the boundary of the surface consisting of $z = 4 - x ^ { 2 }$ in the first octant cut by y = 3, and the coordinate planes. Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A)36
B)40
C)42
D)45
E)48

Let F(x,y,z)=xzi+xyj+y2k\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }F(x,y,z)=xzi+xyj+y2k

Let $\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }$