Question

13. Find \( \int_C \mathbf{F} \cdot d\mathbf{r} \) where \( \mathbf{F}(x, y) = (\sin y, x \cos y) \) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's \"Animals\" playing in the person's earbuds.

Name: 13. Find 𝐅· d𝐫 where 𝐅(x, y) = (sin y, x cos y) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's Änimalsp̈laying in the person's earbuds.
Uploaded: 2023-03-16T11:06:12-08:00
Duration: 3 min 9 s
Channel: Sri K
Description: 13. Find 𝐅· d𝐫 where 𝐅(x, y) = (sin y, x cos y) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's Änimalsp̈laying in the person's earbuds.

          13. Find \( \int_C \mathbf{F} \cdot d\mathbf{r} \) where \( \mathbf{F}(x, y) = (\sin y, x \cos y) \) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's \"Animals\" playing in the person's earbuds.

13. Find 𝐅· d𝐫 where 𝐅(x, y) = (sin y, x cos y) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's Änimalsp̈laying in the person's earbuds.

Added by Brett J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/16/2023

Step 1

The equation of the ellipse centered at (5,4) with minor axis 7 and major axis 43 can be written as: (x-5)^2/43^2 + (y-4)^2/7^2 = 1 Let's parameterize the ellipse using the parameter t: x = 5 + 43*cos(t) y = 4 + 7*sin(t) Show more…

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13. Find Jc F dr where F(x, y) = (sin y, x cos y) and C is an ellipse centered at (5,4) with minor axis 7 and major axis 43, traversed clockwise on a Tuesday with Pink Floyd's Animals playing in the person's earbuds.