Let $\mathbf { F } ( x , y ) = 9 x ^ { 2 } y \mathbf { i } + \left( 5 x ^ { 2 } - y \right) \mathbf { j }$ , where C is the $y = x ^ { 3 } + 1$ from (1,2) to (3,28). Then $\int $C $\mathbf { F } \bullet d \mathbf { r }$ is

A)188
B)376
C)758
D)1506
E)3012

Question

Let

\mathbf { F } ( x , y ) = 9 x ^ { 2 } y \mathbf { i } + \left( 5 x ^ { 2 } - y \right) \mathbf { j }

, where C is the

y = x ^ { 3 } + 1

from (1,2) to (3,28) . Then

\int

C

\mathbf { F } \bullet d \mathbf { r }

is

A)188
B)376
C)758
D)1506
E)3012

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y ) = 9 x ^ { 2 } y \mathbf { i } + \left( 5 x ^ { 2 } - y \right) \mathbf { j }$ , where C is the $y = x ^ { 3 } + 1$ from (1,2) to (3,28). Then $\int $C $\mathbf { F } \bullet d \mathbf { r }$ is

A)188
B)376
C)758
D)1506
E)3012

Let F(x,y)=9x2yi+(5x2−y)j\mathbf { F } ( x , y ) = 9 x ^ { 2 } y \mathbf { i } + \left( 5 x ^ { 2 } - y \right) \mathbf { j }F(x,y)=9x2yi+(5x2−y)j

Let $\mathbf { F } ( x , y ) = 9 x ^ { 2 } y \mathbf { i } + \left( 5 x ^ { 2 } - y \right) \mathbf { j }$