Let $\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }$ and C be the boundary of z = 1 inside $x ^ { 2 } + y ^ { 2 } = 9$ . Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A)48?
B)54?
C)58?
D)62?
E)64?

Question

Let

\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }

and C be the boundary of z = 1 inside

x ^ { 2 } + y ^ { 2 } = 9

. Using Stokes' Theorem,

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

is

A)48?
B)54?
C)58?
D)62?
E)64?

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }$ and C be the boundary of z = 1 inside $x ^ { 2 } + y ^ { 2 } = 9$ . Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A)48?
B)54?
C)58?
D)62?
E)64?

Let F(x,y,z)=−3yi+3xj+2k\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }F(x,y,z)=−3yi+3xj+2k

Let $\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }$