Question

Evaluate \oint_C \sin(x) \, dx + z \cos(y) \, dy + \sin(y) \, dz \\ where $C$ is the ellipse $36x^2 + 36y^2 = 4$, oriented clockwise. \\ (Use symbolic notation and fractions where needed.) \\ \oint_C \sin(x) \, dx + z \cos(y) \, dy + \sin(y) \, dz =

          Evaluate \oint_C \sin(x) \, dx + z \cos(y) \, dy + \sin(y) \, dz \\ where $C$ is the ellipse $36x^2 + 36y^2 = 4$, oriented clockwise. \\ (Use symbolic notation and fractions where needed.) \\ \oint_C \sin(x) \, dx + z \cos(y) \, dy + \sin(y) \, dz =

$Evaluate sin(x) dx + z cos(y) dy + sin(y) dz where C is the ellipse 36x^2 + 36y^2 = 4, oriented clockwise. (Use symbolic notation and fractions where needed.) sin(x) dx + z cos(y) dy + sin(y) dz =$

Added by Josefina G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/17/2023

Step 1

The equation of the ellipse is 36x^2 + 36y^2 = 4, which can be rewritten as x^2/4 + y^2/4 = 1. This is a standard form of an ellipse with semi-major and semi-minor axes of length 2. We can parameterize the ellipse using polar coordinates: x = 2cos(t) y = Show more…

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Evaluate oint_C sin(x)dx+zcos(y)dy+sin(y)dz where C is the elipse 36x^(2)+36y^(2)=4, oriented clockwise. (Use symbolic notation and fractions where needed.) oint_C sin(x)dx+zcos(y)dy+sin(y)dz= Evaluate sin(xdx+ z cos(ydy+sin(ydz where C is the elipse 36x2 + 36y2 = 4, oriented clockwise Use symbolic notation and fractions where needed.) sin(x) dx + z cos(y) dy+ sin(y) dz =