
A. Fundamental theorem of line integrals
B. Green's Theorem
c. Parameterize the curve and compute the line integral long-hand
D. none of the above, problem cannot be solved

A. Fundamental theorem of line integrals B. Green's Theorem c. Parameterize the curve and compute the...
Use Green's Theorem to evaluate the line integral along the given positively oriented curve I = Sc (2y + 7eV*)dx + (3x + cos(y2))dy, where the curve C is the boundary of the region enclosed by the parabolas y = 9x2 and x = y2
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 _______
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 4 sin(y) dx + 4x cos(y) dy C is the ellipse x2 + xy + y2 = 49 Ic
(1 point) Use Green's Theorem to evaluate the line integral along the given postively oriented curve. 1 = [ (2y + 7eva)dx + (3x + cos(y?))dy C is the boundary of the region enclosed by the parabolas y = 7c and x = yº
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (3y + 7eVT) dx + (10x + 7 cos(y2)) dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2 Need Help? Read It Watch It Master It Talk to a Tutor
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
13. (6 pts) FTLIs, Green's, and Divergence Theorems (a) Complete the table below. Theorem Need to check: FTLIs The vector field Il curve Il surface IS: Green's Theorem | The vector field II curve ll surface is: and: Divergence Theorem The vector field |l curve l surface is: (b) For each of the following, choose all correct answers from the list below that can be used to evaluate the given integral. List items may be used more than once. i....
Use Green's Theorem to evaluate the line integral. 3xe' dx + el dy C: boundary of the region lying between the squares with vertices (2, 2), (2, 2), (-2,-2), (2,-2) and (5, 5), (-5,5),(-5,-5), (5,-5)
need help with #4. need to identify best theorem to use and find
solution.
Table 14.4 Fundamental Theoremsdtb)-a) or Calculus Fundamental Theorem f.dr-un-nA) of Line Integrals Green's Theorem Circulation form) Stokes' Theorem F-nds Divergence Theorem Evaluate the line integral for the following problems over the given regions: 1. F (2xy,x2 C:r(t) (9-2.),0sts3 3X3dy-3y3dz; C is the circle of radius 4 centered at the origin with clockwise orientation. 2. 3. ye""ds; C is the path r(t) (t,3t,-6t), for Ost s In8...
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).