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

A)5$\pi$
B)4$\pi$
C)3$\pi$
D)2$\pi$
E)$\pi$

Question

Let

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

and C be the boundary of

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

below z = 1. Using Stokes' Theorem,

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

is

A)5$\pi$
B)4$\pi$
C)3$\pi$
D)2$\pi$
E)$\pi$

Quizplus · Accepted Answer

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

A)5$\pi$
B)4$\pi$
C)3$\pi$
D)2$\pi$
E)$\pi$

Let F(x,y,z)=y2i+xj+z2k\mathbf { F } ( x , y , z ) = y ^ { 2 } \mathbf { i } + x \mathbf { j } + z ^ { 2 } \mathbf { k }F(x,y,z)=y2i+xj+z2k

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