- (15 pts) Evaluate the integral by making the appropriate change of vari- ables. (2x -...
Evaluate the given integral by making an appropriate change of variables dA, where R is the parallelogram enclosed by the lines x-7y-0, x-7y-9, 4x-y 6, and 4x-y= 7 R4x -y Need Help? Read ItWatch ItMaster ItTalk to a Tutor
Evaluate the integral by making an appropriate change of variables. Il 31+ vex2 - y2 DA. where R is the rectangle enclosed by the lines x - y = 0, x - y = 8, x + y = 0, and x + y = 2
3. (A) (Change of Variables) Evaluate the following integrals by making appropriate change of variables. (a) // sin(x2 + y2) dA, where R is the region in the first quadrant bounded by the circle x2 + y2 = 5. YdA, where R is the parallelogram enclosed by the four lines 3. -Y x - 2y = 0, 2 - 2y = 4, 3.x - y = 1, and 3.c - y = 8. zevky / dA, where R is the...
8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o, and x y - s 9(x + y)e- y* dA,
8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o,...
4. Co ider dĀ, where R is the parallelogram enclosed by the lines x-3y=0, x-3y=4, 2x-y=2, Å 2x - y and 2x-y=7. Fill in the boxes: Let u=x-3y, and v= 2x - y. Then in terms of u and v, we can set up the PX - 3 ingen i 19 = 3/d2=SHH dvdu. (You do not actually evaluate the integral.) dvdu van de integral as: JJ 2 actually salane te imeni)
Find integral integral _ 4x + 3y/2x - 3y dA, where R is the parallelogram enclosed by the lines -4x + 3y = 0, - 4x + 3y = 6, 2x - 3y = 1, 2x - 3y = 4 This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle.
(7) (10 points) Change the Cartesian integral lent polar integral, and then evaluate it. Г y dx dy into an equiva- (8) (10 points) Evaluate the double integral SSR xʻy dĀ, where the region R is bounded by the lines x = 0, x = 2, y = x, and y = x +4, using the transfor- mation x = 2u, y = 40 + 2u.
(15) 4. Evaluate SS, (2x + y) dĀ where D is the parallelogram with corners at (0,0), (1,1), (0,3) and (-1,2) by using the transformation x = u – v and y = u + 2v.
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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...