7. So -y dx + x dy x² + y² G₁₁: x² + y² = 1 C₁ traversed in a clockwise direction. (b) Green's theorem cannot be used directly to evaluate So -y dx + x dy x² + y² where C₂ is given by C₂ the parabola y² = x+2 traversed counterclockwise from (2,2) to (2,-2), and then along the vertical line segment from (2,-2) to (2,2). Show how the result of part(a) can be used with Green's theorem to evaluate the above line integral. (a) Evaluate

7. So -y dx + x dy x² + y² G₁₁: x² + y² = 1 C₁ traversed in a clockwise direction. (b) Green's theorem cannot be used directly to evaluate So -y dx + x dy x² + y² where C₂ is given by C₂ the parabola y² = x+2 traversed counterclockwise from (2,2) to (2,-2), and then along the vertical line segment from (2,-2) to (2,2). Show how the result of part(a) can be used with Green's theorem to evaluate the above line integral. (a) Evaluate

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

See similar textbooks