7. Evaluate SF. dr counterclockwise around the boundary C of the region D using Green's theorem:...
be = Use Green's Theorem to evaluate F. dr where F (3xy – esin x , 7x2 + Vy4 + 1) and C is the boundary of the region bounded by the circle x2 + y2 = 4 in the first quadrant with counterclockwise orientation.
3. EVALUATE USING GREEN'S THEOREM = ++ sinxy - y+cosx), WHERE C IS THE BOUNDARY OF THE REGION X+ Y4.
Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path C. F(x, y) = (3x2+y)i + 3xy2jC: boundary of the region lying between the graphs of y = √x. y = 0, and x = 1
please answer all 3 questions, I need help. thank you
Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
4.Use Green's Theorem to evaluate the line integral. ∫C 2xydx + (x + y)dy C: boundary of the region lying between the graphs of y = 0 and y = 1 - x2_______ 5.Use Green's Theorem to evaluate the line integral. ∫C ex cos(2y) dx - 2ex sin(2y) dy C: x2 + y2 = a2 _______
12. (5 Points) Use Green's Theorem to evaluate the line integral dr +(7x + cos(y?)) dy, +5y where C is the path around the triangle with vertices (0,0), (4,0), (0,6), oriented counterclockwise.
12. (5 Points) Use Green's Theorem to evaluate the line integral dr +(7x + cos(y?)) dy, +5y where C is the path around the triangle with vertices (0,0), (4,0), (0,6), oriented counterclockwise.
Use Green's Theorem to evaluate the line integral ang the given positively oriented curve (3y+5eVX d(Bx5 cos(y2) dy x2 and x y2 C is the boundary of the region enclosed by the parabolas y
Use Green's Theorem to evaluate the line integral ang the given positively oriented curve (3y+5eVX d(Bx5 cos(y2) dy x2 and x y2 C is the boundary of the region enclosed by the parabolas y
evaluate using green's theorem line integral (4x^3+sin y^2)dy-(4y^3+cosx^2)dx, where C is the boundary of the region x^2+y^2 greater equal to 4
2. EXTRA CREDIT OPTION: GREEN'S THEOREM Fix θ > 0, Consider the region A bounded by the straight line segment from (0,0) to (1,0), the portion of the hyperbola parametrized by r(t) (cosh(t), sinh(t)) for 0 t 0, and the straight line segment from P-(cosh(9), sinh(9) back to the origin. Using the vector field F-1/2(-y,z) and Green's Theorem, find the area of A in terms of θ. Show all work in an organized, well-written manner for full credit.
2. EXTRA...
Please solve this.
(Calc 3)
Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F=(x+y) i + (x-y)j; C is the rectangle with vertices at (0,0), (7,0), (7,3), аnd (0,3) ОА. – 42 Ов. о Ос.