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(15) 4. Evaluate SS, (2x + y) dĀ where D is the parallelogram with corners at...
4. Co ider dĀ, where R is the parallelogram enclosed by the lines x-3y=0, x-3y=4, 2x-y=2,...
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)
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4. Evalua...
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
5. Evaluate SS x+2y da where R is the triangle with vertices (0,3), (4,1), and (2,6)....
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.
- (15 pts) Evaluate the integral by making the appropriate change of vari- ables. (2x -...
- (15 pts) Evaluate the integral by making the appropriate change of vari- ables. (2x - y) sinº (z - y) dĀ, SA where R is the parallelogram enclosed by the lines 2x - y = 0, 2x - y = 2, -y=0, and 2-y=-1. (You need not simplify your answer.)
Use the given transformation to evaluate the integral. -5x dx dy where R is the parallelogram bou...
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. 21)--2x + y, v = 9x + y; 21) (y-2x)(9x + y...
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...
2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram i...
2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, 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. HINT: Let u 2z -y and v-4 - 2y -27/16 *Preview and y -
2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, This can be done directly with a tedious computation, or can be done with a change of...
Use the given transformation to evaluate the given integral, where R is the parallelogram with vertices...
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 =
(1 point) Compute the flux integral Ss F. dĀ in two ways, directly and using the...
(1 point) Compute the flux integral Ss F. dĀ in two ways, directly and using the Divergence Theorem. S is the surface of the box with faces x = 1, x = 2, y = 0, y = 3, z = 0, z = 3, closed and oriented outward, and Ě = 4x21 + 4y2] + 422K. Using the Divergence Theorem, SSF dĀ = So Sad Song dz dy dx = where a = b= d= p= and q =...
QUESTION 4 Use the appropriate transformation to evaluate SX (2x + y)(x - y)dA where R...
QUESTION 4 Use the appropriate transformation to evaluate SX (2x + y)(x - y)dA where R is the region bounded by the line y = 4 - 2x, y = 7 - 2x, y = x - 2 and y = x +1. (8 marks)
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)
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=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.
- (15 pts) Evaluate the integral by making the appropriate change of vari- ables. (2x - y) sinº (z - y) dĀ, SA where R is the parallelogram enclosed by the lines 2x - y = 0, 2x - y = 2, -y=0, and 2-y=-1. (You need not simplify your answer.)
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,...
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...
2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, 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. HINT: Let u 2z -y and v-4 - 2y -27/16 *Preview and y -
2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, This can be done directly with a tedious computation, or can be done with a change of...
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 =
(1 point) Compute the flux integral Ss F. dĀ in two ways, directly and using the Divergence Theorem. S is the surface of the box with faces x = 1, x = 2, y = 0, y = 3, z = 0, z = 3, closed and oriented outward, and Ě = 4x21 + 4y2] + 422K. Using the Divergence Theorem, SSF dĀ = So Sad Song dz dy dx = where a = b= d= p= and q =...
QUESTION 4 Use the appropriate transformation to evaluate SX (2x + y)(x - y)dA where R is the region bounded by the line y = 4 - 2x, y = 7 - 2x, y = x - 2 and y = x +1. (8 marks)
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