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Problem 1. Evaluate // - y - 1drdy Where 2 is the region bourdon by and...
5. Evaluate the integral: (x) dedrdy, where B is the cylinder over the rectangular region R-(, y) ER21,-2S of the ay...
5. Evaluate the integral: (x) dedrdy, where B is the cylinder over the rectangular region R-(, y) ER21,-2S of the ay plane, bounded below by the surface 1os y and above by the sur face of elliptical paraboloid 22 2- 2)
5. Evaluate the integral: (x) dedrdy, where B is the cylinder over the rectangular region R-(, y) ER21,-2S of the ay plane, bounded below by the surface 1os y and above by the sur face of elliptical paraboloid 22...
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region...
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region bounded by xay and y = 2 - X.
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...
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-
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of th...
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur- 2) face of elliptical paraboloid 22-2-4-9
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur-...
evaluate Question 3 Evaluate Si WA vdA where is the region bounded by y - 4x...
evaluate
Question 3 Evaluate Si WA vdA where is the region bounded by y - 4x and x* - 4. (10 marks)
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y =...
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2. e.g.4 Evaluate JJs F dS, wh...
e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2.
e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2.
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'-...
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'- R (10 marks)
E. 36/2. Problem 6. (1 point) Evaluate the triple yd where is the region in the...
E. 36/2. Problem 6. (1 point) Evaluate the triple yd where is the region in the first octant (x20, y 0,2 0 ), below the plane z = 2-y and with x 1.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the...
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
5. Evaluate the integral: (x) dedrdy, where B is the cylinder over the rectangular region R-(, y) ER21,-2S of the ay plane, bounded below by the surface 1os y and above by the sur face of elliptical paraboloid 22 2- 2)
5. Evaluate the integral: (x) dedrdy, where B is the cylinder over the rectangular region R-(, y) ER21,-2S of the ay plane, bounded below by the surface 1os y and above by the sur face of elliptical paraboloid 22...
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region bounded by xay and y = 2 - X.
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-
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur- 2) face of elliptical paraboloid 22-2-4-9
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur-...
evaluate
Question 3 Evaluate Si WA vdA where is the region bounded by y - 4x and x* - 4. (10 marks)
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2.
e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2.
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'- R (10 marks)
E. 36/2. Problem 6. (1 point) Evaluate the triple yd where is the region in the first octant (x20, y 0,2 0 ), below the plane z = 2-y and with x 1.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
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