-/1.42 POINTS LARCALC10 15.4.003. Verify Green's Theorem by evaluating both integrals [x?dx + x? dy =...
2. [-/10 Points] DETAILS LARCALC11 15.4.007. 0/6 Submission Verify Green's Theorem by evaluating both integrals |_ ? dx + x? dy = f S (mmen med dA for the given path. C: square with vertices (0,0), (2, 0), (2, 2), (0, 2) Je v2 dx + x² ay = an ax дм ay dA Need Help? Read It Talk to a Tutor
1. [-/10 Points] DETAILS LARCALC11 15.4.005. 0/6 Submissions Used Verify Green's Theorem by evaluating both integrals Ja yax+ y2 dx + x2 dy дм ду for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 + x2 dy AS COMO an дх aM ду dA =
integrals below are equivalent. According to Green's theorem, the two x4 dx+xy dy= y-0 dA Question 9: Calculate both sides of where D is the triangle with vertices at (0,0), (0,1), and (1,0). Note the integral on the left side is around the boundary and you will need three separate integrals. integrals below are equivalent. According to Green's theorem, the two x4 dx+xy dy= y-0 dA Question 9: Calculate both sides of where D is the triangle with vertices at...
Green's Theorem )dy - (4y2 ex)dx Evaluate Y Here, y is the path along the boundary of the square from (0,0) to (0,1) to (1,1) to (1,0) to (0,0) State Green's Theorem in its entirety. Sketch the curve, y. Indicate the given orientation on the curve. Explain in detail how all the conditions of the hypothesis of the theorem are satisfied. Use Green's Theorem to evaluate the given integral. Simplify your answer completely. Green's Theorem )dy - (4y2 ex)dx Evaluate...
Evaluate the following integrals using Green's theorem. 8. S. (2y2 + xsin(x)dx + (x3 - evy)dy where c is the rectangle in R2 with vertices at (1,0), (2,0), (2,2) and (1,2) oriented counterclockwise.
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
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.
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2 )dx + (x 3 − ln (y 2 ))dy where C is the rectangle with vertices (0, 0), (1, 0), (0, 2), and (1, 2). 4. Use Green's theorem to evaluate vertices (0,0), (1,0), (0, 2), and (1,2). Sc(-y + V 22)dx + (z? – In (y?))dy where C is the rectangle with
PLEASE USE GREEN'S THEOREM 8. Verify Green's Theorem for f (64 – 3y2 + x) dx + yzºdy where C is shown below by (a) computing the line integral directly and (b) using Green's Theorem to compute the line integral . 5 (1,5) 3 (1,3) 2.
(7) Green's Theorem for Work in the Plane F(x, y) =< M, N >=< x, y2 > C: CCW once about y = vw and y = x W = | <M,N><dx,dy>= | Mdx + Ndy CZ CZ (70) Parametrize the path Cy: along the curve y = vw from (1,1) to (0,0) in terms of t. (70) Use this parametrization to find the work done. (7e) Confirm Green's Theorem for Work. (7) Green's Theorem for Work in the Plane...