Use the given transformation to evaluate the integral. -5x dx dy where R is the parallelogram bou...
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 given integral, where R is the parallelogram with vertices (-2, 6), (2, -6), (5,-3), and (1,9). L = SUR(16.+12y) dA; r = {(u +v), y=(v – 3u) L =
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 =
10 Given the double integral 4(x+ y)e dy dx, where R is the triangle in the xy-plane with vertices at (-1, 1), (1, 1) and (O,0). Transform this integral into J g(u.)dv du by the transformations given by 스叱制一想ル r}(u+v), y (u + v), y =-(u-v). Then, Evaluate the integral." (u-v). Then, Evaluate the integral. r 10 Given the double integral 4(x+ y)e dy dx, where R is the triangle in the xy-plane with vertices at (-1, 1), (1, 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)
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y- 8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
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)
Evaluate the following double integral over the parallelogram(R) bounded by the lines y = 1, y = I-1, + 2y = 0, and 2 + 2y = 2, 1 + 2y dA R cos(x - y) (You need integral of sec function!) Seco
Questi Apply Green's Theorem to evaluate the integral. froy +x)dx + (y + 5x)dy C. The circle (x - 8)2 + (y - 1)2 = 3 С froy + x)dx + (y + 5x)dy - С (Type an exact answer, using x as needed) Enter your answer in the answer box and then click Check Answer All parts showing Clear A
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...