Question

Use Green's Theorem to evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$. (Check the orientation of the curve before applying the theorem.) $\mathbf{F}(x, y) = (y - \cos(y), x \sin(y))$, $C$ is the circle $(x - 5)^2 + (y + 9)^2 = 25$ oriented clockwise Need Help? Read It Watch It Submit Answer [-/1 Points] DETAILS SCALCET9M 16.4.032. Calculate $\int_C \mathbf{F} \cdot d\mathbf{r}$, where $\mathbf{F}(x, y) = (x^2 + y, 4x - y^2)$ and $C$ is the positively oriented boundary curve of a region $D$ that has area 7.

          Use Green's Theorem to evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$. (Check the orientation of the curve before applying the theorem.)
$\mathbf{F}(x, y) = (y - \cos(y), x \sin(y))$, $C$ is the circle $(x - 5)^2 + (y + 9)^2 = 25$ oriented clockwise
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[-/1 Points] DETAILS SCALCET9M 16.4.032.
Calculate $\int_C \mathbf{F} \cdot d\mathbf{r}$, where $\mathbf{F}(x, y) = (x^2 + y, 4x - y^2)$ and $C$ is the positively oriented boundary curve of a region $D$ that has area 7.

Use Green's Theorem to evaluate 𝐅· d𝐫. (Check the orientation of the curve before applying the theorem.)
𝐅(x, y) = (y - cos(y), x sin(y)), C is the circle (x - 5)^2 + (y + 9)^2 = 25 oriented clockwise
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Submit Answer
[-/1 Points] DETAILS SCALCET9M 16.4.032.
Calculate 𝐅· d𝐫, where 𝐅(x, y) = (x^2 + y, 4x - y^2) and C is the positively oriented boundary curve of a region D that has area 7.

Added by Anna E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/19/2022

Step 1

The curve C is the circle (x - 5)^2 + (y + 9)^2 = 25 oriented clockwise. Show more…

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Use Green's Theorem to evaluate the line integral F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y - cos y, x sin y), C is the circle (x - 5)^2 + (y + 9)^2 = 25 oriented clockwise Need Help? ReadIt Aateh lt Submit Answer [-/1 Points] DETAILS SCALCET9M16.4.032 Calculate F - dr, where F(x, y) = (2 + y, 4x - y^2) and C is the positively oriented boundary curve of a region D that has area 7.