Use the given transformation to evaluate the given integral, where R is the parallelogram with vertices...
Use the given transformation to evaluate the integral. + 16y) da, where R is the parallelogram with vertices (-2, 6), (2,-6), (4,-4), and (0,8); x =
Use the given transformation to evaluate the integral. -5x dx dy where R is the parallelogram bounded by the linesy-x+1, y-x +4 y#2x+2y»2x + 5 A) -5 B) 10 C)5 D)-10 32) y+ x where R is the trapezoid with vertices at (6,0), ,0).。. 6), (0.9) 45 45 B) ÷ sin l 45 C) sin 2 45 A) sin 2 Use the given transformation to evaluate the integral. -5x dx dy where R is the parallelogram bounded by the linesy-x+1,...
Use the given transformation to evaluate the integral. 1 (20x + 157) da, where is the parallelogram with vertices (-2, 6), (2, -8), (4,-6), and (0, 10); x = (u + v), y - 4)
5. Evaluate SS x+2y da where R is the triangle with vertices (0,3), (4,1), and (2,6). Use the transformation x=-(u- *=£cu-v),= (3u+v+12). 6. Evaluate S 2 ydx+(1 – x)dy along the curve C given by y=1 –x" from x = -1 to x = 2.
Use the given transformation to evaluate the integral. ∫∫R6xy dA, where R is the region in the first quadrant bounded by the lines y = 1/3x and y = 3x and the hyperbolas xy = 1/3 and xy = 3; x = u/v, y = V
just set up the integral 8) SET-UP an integral to evaluat - 8x)dA, where Ris the parallelogram with vertices (0,0), (6,2), (7,6) and (1,4) using the transformation x = + (-3u+v), y= 1(-u+4v) to R. 11 11
Use the given transformation to evaluate the integral. 10xy da, where is the region in the first quadrant bounded by the lines y = 1x and y = 3x and the hyperbolas xy - 3 and xy = 3; xu/v, y v
3. Use the transformation u = xy, v = y to evaluate the integral ∫∫R xy dA, where R is the ay region in the first quadrant bounded by the lines y = x and y = 3x, and the hyperbolas xy = 1, xy = 3
1 R 12. Use the transformation T: u = -x and very to evaluate the integral [jx?dA where R is the region bounded on the xy-plane by the ellipse 9x + 4y = 36. . Let S be the image of Runder T on the uv-plane. Sketch regions and S. Set up the integral 7as an iterated integral of a function f(u, v) over region S. Use technology to evaluate the integral. Give the exact answer. R S Y
Points Use the given transformation to evaluate the integral SLO (20x + 18), where is the paralelogram with vertices (-), 12), (3, -12), (6, -9), and (0, 13); } + 7). 4050