Use the transformation u = 3x + y, v=x + 3y to evaluate the given integral...
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
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
21-23 Use the given transformation to evaluate the integral. 21)--2x + y, v = 9x + y; 21) (y-2x)(9x + y) dx dy where R is the parallelogram bounded by the lines y - 2x +6.y -2x+7.y 13 A) D) 1573 B) 1573 C) 22) // f (x2 + y2 +內0xdy dz. x2 y2 22 where R is the interior of the ellipsoid 1002361 D) 180: C) 240π B) 20От A) 120π 23) Solve the problem. 23) Evaluate x2- y...
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
can younplease answer all of these i need it for a review please u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
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
1 3 12. Use the transformation T: u = -x and very to evaluate the integral [JxºdA where R is the region R bounded on the xy-plane by the ellipse 9x² + 4y2 = 36. Let S be the image of R under T on the uv-plane. Sketch regions R 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...
Use the given transformation to evaluate the integral Sa 3x² d A where is the region bounded by the ellipse 16x² +257 = 400 and the transformation is x = 50, yehv
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,...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...