PLEASE USE GREEN'S THEOREM 8. Verify Green's Theorem for f (64 – 3y2 + x) dx...
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)...
: Use Green's Theorem to evaluate the following integral f ev? dx + (10x + 8) dy Where C is the triangle with vertices (0,0), (10,0), and (5,8) (in the positive direction).
Use Green's Theorem to calculate the line integral f. 2xy dx + 2(x+y) dy, where C is the unit circle centered at the origin and it is counter-clockwise oriented. $c 2xy dx + 2(x + y) dy =
I Verify Green, Theorem for the field F(x, y) = (x - y) + + x 7 and the region R bounded by the unit circle x² + y² = 1. b) Use the Green's theorem to evoluate the line integral 3 y dx + 2xdy where C is the boundary of the region Os x a , Os y < siax orciented counter clockwise. (Answer : -2)
3. Use the curl test to show that F(x,y)- (x2yi+(y)j is path dependent. 4. Use Green's Theorem to evaluate the line integral , (2x-y)dx-r3)dy where C is the boundary of the region between y = 2x and y-x2 oriented in the positive direction
3. Use the curl test to show that F(x,y)- (x2yi+(y)j is path dependent. 4. Use Green's Theorem to evaluate the line integral , (2x-y)dx-r3)dy where C is the boundary of the region between y = 2x and...
Use Green's theorem to evaluate the line integral Sc xay dx + 2xy?dx where C is the triangle with vertices 10,0), 12, 2), and 12,8).
Use Green's Theorem to evaluate the line integral. (x - 97) dx + (x + y) dy C: boundary of the region lying between the graphs of x2 + y2 = 1 and x2 + y2 = 81 x-9
10. [8 points] Use Green's Theorem to evaluate the line integral Sexy dx + (x2 + y) dy, where the closed curve C determined by y=x2 and y - =2 between (-1,1) and (2, 4). Sketch the curve and the region enclosed by the curve.
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
-/1.42 POINTS LARCALC10 15.4.003. Verify Green's Theorem by evaluating both integrals [x?dx + x? dy = f S (x om) da for the given path. C: square with vertices (0,0), (3, 0), (3, 3), (0, 3) { y dx + x² dy =