Using Green's theorem evaluate oint_C(6y+x)dx+(y+2x)dy where C is the boundary

Cheyanne Leigh 2020-11-12 Answered

Using Green's theorem evaluate C(6y+x)dx+(y+2x)dy where C is the boundary of the

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

avortarF
Answered 2020-11-13 Author has 113 answers
Here we have to evalute the integral (6y+x)dx+(y+2x)dy over the regin bounced by y=x2andx=y2 say the regin D.By Greens theorem
(6y+x)dx+(y+2x)dy=D(x(y+2x)y)(6y+x)dydx
01y=x2y=x(x(y+2x)y(6y+x))dydx
=01y=x2y=x(26)dydx
401y=x2y=xdydx
401(xx2)dx
=4x3232x33|01 =4(2313)
=43
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-09
A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes. Find the tension in each rope when a 700-N person is 0.500 m from the left end.
asked 2021-05-13
A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?
asked 2020-12-01
The boom weighs 2600N. The boom is attached with a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 35% of its length. a) Find the tension in the guy wire and the horizontal and vertical components of the force exerted on the boom at its lower end. b) Does the line of action of the force exerted on the boom a tits lower end lie along the boom?
asked 2020-11-01
A horizontal force of 210N is exerted on a 2.0 kg discus as it rotates uniformaly in a horizontal circle ( at arm's length ) of radius .90 m. Calculate the speed of the discus
asked 2021-01-10
1. BrO4
What is formal charge and oxidation number of Oxygen and Bromine?
asked 2020-10-31
A sphere of radius 20.0cm and mass 1.80 kg starts from rest and rolls without slippingdown a 30.0º incline that is 10.0 m long. (a) Calculate itstranslational and rotational speeds when it reaches the bottom. (b)What is the ratio of translational to rotational KE at the bottom?Avoid putting in numbers until the end so you can answer: (c) doyour answers in (a) and (b) depend on the radius of the sphere orits mass?
asked 2022-03-25

A 0.250-kgkg ice puck, moving east with a speed of 5.80 m/sm/s, has a head-on collision with a 0.900-kgkg puck initially at rest. Assume that the collision is perfectly elastic.

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question