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Question 8 (1 mark) Attempt 1 S is the surface y2 36(2+22 A suitable parametric representation of the surface S is: yE(...
Question 8 (1 mark) Attempt 4 ye[0,9 S is the surface y 9(r2+22), ye[0,9] A suitable parametric representation of the s...
Question 8 (1 mark) Attempt 4 ye[0,9 S is the surface y 9(r2+22), ye[0,9] A suitable parametric representation of the surface S is 92 aboute the y-axis for obtained by rotating the functiony= r(s,0) scosi+9sj+ssin@k, 0<<s<1, 0<0<2r O A r(s,0)=scos0i+9s2j+ssin0k, 0<s<1, 0<0<2« B T(s,0)=scos0i+ssinej+9s2k, 0<s<1, 0<0<2« r(s,0)=scosi+ssin@j+9sk, 0<s<1, 0<0<2« D r(s,0)=9si+scos@j+ssin0k, 0 <s<1, 0<0<2T E T(s,0)=9s2i+scosej+ssin0k, 0<s<1, 0<0<2 F G None of these.
Question 8 (1 mark) Attempt 4 ye[0,9 S is the surface y 9(r2+22), ye[0,9] A suitable parametric...
Question 11 (2 marks) Attempt 1 S is the surface X-6 (y2+22) obtained by rotating the function x-6y2 about the x-axis f...
Question 11 (2 marks) Attempt 1 S is the surface X-6 (y2+22) obtained by rotating the function x-6y2 about the x-axis for TE 0,6 0,6 Given the vector field: Calculate the outward flux of E through surface S. That is find Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J Skipped
Question 11 (2 marks) Attempt 1 S is the...
Question 11 (2 marks) Attempt 7 yE[0,3 S is the surfaceu= : 3(r2+22), yE [0,3] obtained by rotating the function,= 3.2...
Question 11 (2 marks) Attempt 7 yE[0,3 S is the surfaceu= : 3(r2+22), yE [0,3] obtained by rotating the function,= 3.2 about the y-axis for Given the vector field: E(4+3y)i+6y-3y2)j+4zk, Calculate the outward flux of E through surface S. That is find E dS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7
Question 11 (2 marks) Attempt 7 yE[0,3 S...
2. S is the surface y 2 = 4(x 2 + z 2 ), y ∈ [0, 2] obtained by rotating the function y = 2x about the y-axis for y ∈ [0...
2. S is the surface y 2 = 4(x 2 + z 2 ), y ∈ [0, 2] obtained by rotating the function y = 2x about the y-axis for y ∈ [0, 2]. Find a suitable parametric representation of the surface S using the cylindrical polar coordinates. Answer is: 2. r(u, v) = u cos(v)i + 4uj + u sin(v)k , 0 ≤ v < 2π, 0 ≤ u ≤ 1/2. I am unsure how to work it out...
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2 < 1 and b...
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2 < 1 and below the plane :-2T. 1 Credit disk 0 3. θ above the unit -1 Using the parametrization g(r,0) = (r cose, r sina, e, o s r UATE the integral to compute the surface area. e 1, 0 2r, set up BUT DO NOT EVAL-
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2
9. Find the parametric representation of each surface. a. The part of the hyperboloid 2 -xy-1 that lies above the rectangle [-2,2]*[-5,5]. b. The part of the sphere x2 +y2 +22-16 in the first oct...
9. Find the parametric representation of each surface. a. The part of the hyperboloid 2 -xy-1 that lies above the rectangle [-2,2]*[-5,5]. b. The part of the sphere x2 +y2 +22-16 in the first octant that lies above the cone
9. Find the parametric representation of each surface. a. The part of the hyperboloid 2 -xy-1 that lies above the rectangle [-2,2]*[-5,5]. b. The part of the sphere x2 +y2 +22-16 in the first octant that lies above the cone
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the...
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the vector field: E-(12yz-22)(22z+3y)j+(3z-22y)k, Calculate the outward flux of E through surface S. That is find 3 z JEdS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JSkipped
s is the surface X2 16...
Question 11 (2 marks) Attempt 3 Sis the surface 2 =16(r2+z2), y E[0,4]| obtained by rotating the function y= 4x about t...
Question 11 (2 marks) Attempt 3 Sis the surface 2 =16(r2+z2), y E[0,4]| obtained by rotating the function y= 4x about the y-axis for yE[0,4]. Given the vector field: E=(24z+6x)i+(-5y3+14yz)j+(6z-24x)k, Calculate the outward flux of E through surface S. That is find EdS J = S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JE Skipped
Question 11 (2 marks)...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field: E= (18+4yz)1+(1522+42)j+(22 r2z-723)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J= Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3 Pi+5/7 J= Skipped Lecture 14-Overdodf Handout Lab-2D....docx
Question Question 11 (2 marks) Attempt...
Question 11 (2 marks) Attempt 2 rE[0,4] S is the surface2-16(y2+z2), DE[0,4]Obtained by rotating the function =4y about...
Question 11 (2 marks) Attempt 2 rE[0,4] S is the surface2-16(y2+z2), DE[0,4]Obtained by rotating the function =4y about the x-axis for Given the vector field: E =(11y2-82)i+(132+12y) j+(12z-13y), Calculate the outward flux of E through surface S. That is find EdS S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
Question 11 (2 marks) Attempt 2 rE[0,4] S...
Question 8 (1 mark) Attempt 4 ye[0,9 S is the surface y 9(r2+22), ye[0,9] A suitable parametric representation of the surface S is 92 aboute the y-axis for obtained by rotating the functiony= r(s,0) scosi+9sj+ssin@k, 0<<s<1, 0<0<2r O A r(s,0)=scos0i+9s2j+ssin0k, 0<s<1, 0<0<2« B T(s,0)=scos0i+ssinej+9s2k, 0<s<1, 0<0<2« r(s,0)=scosi+ssin@j+9sk, 0<s<1, 0<0<2« D r(s,0)=9si+scos@j+ssin0k, 0 <s<1, 0<0<2T E T(s,0)=9s2i+scosej+ssin0k, 0<s<1, 0<0<2 F G None of these.
Question 8 (1 mark) Attempt 4 ye[0,9 S is the surface y 9(r2+22), ye[0,9] A suitable parametric...
Question 11 (2 marks) Attempt 1 S is the surface X-6 (y2+22) obtained by rotating the function x-6y2 about the x-axis for TE 0,6 0,6 Given the vector field: Calculate the outward flux of E through surface S. That is find Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J Skipped
Question 11 (2 marks) Attempt 1 S is the...
Question 11 (2 marks) Attempt 7 yE[0,3 S is the surfaceu= : 3(r2+22), yE [0,3] obtained by rotating the function,= 3.2 about the y-axis for Given the vector field: E(4+3y)i+6y-3y2)j+4zk, Calculate the outward flux of E through surface S. That is find E dS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7
Question 11 (2 marks) Attempt 7 yE[0,3 S...
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2 < 1 and below the plane :-2T. 1 Credit disk 0 3. θ above the unit -1 Using the parametrization g(r,0) = (r cose, r sina, e, o s r UATE the integral to compute the surface area. e 1, 0 2r, set up BUT DO NOT EVAL-
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2
9. Find the parametric representation of each surface. a. The part of the hyperboloid 2 -xy-1 that lies above the rectangle [-2,2]*[-5,5]. b. The part of the sphere x2 +y2 +22-16 in the first octant that lies above the cone
9. Find the parametric representation of each surface. a. The part of the hyperboloid 2 -xy-1 that lies above the rectangle [-2,2]*[-5,5]. b. The part of the sphere x2 +y2 +22-16 in the first octant that lies above the cone
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the vector field: E-(12yz-22)(22z+3y)j+(3z-22y)k, Calculate the outward flux of E through surface S. That is find 3 z JEdS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JSkipped
s is the surface X2 16...
Question 11 (2 marks) Attempt 3 Sis the surface 2 =16(r2+z2), y E[0,4]| obtained by rotating the function y= 4x about the y-axis for yE[0,4]. Given the vector field: E=(24z+6x)i+(-5y3+14yz)j+(6z-24x)k, Calculate the outward flux of E through surface S. That is find EdS J = S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JE Skipped
Question 11 (2 marks)...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field: E= (18+4yz)1+(1522+42)j+(22 r2z-723)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J= Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3 Pi+5/7 J= Skipped Lecture 14-Overdodf Handout Lab-2D....docx
Question Question 11 (2 marks) Attempt...
Question 11 (2 marks) Attempt 2 rE[0,4] S is the surface2-16(y2+z2), DE[0,4]Obtained by rotating the function =4y about the x-axis for Given the vector field: E =(11y2-82)i+(132+12y) j+(12z-13y), Calculate the outward flux of E through surface S. That is find EdS S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
Question 11 (2 marks) Attempt 2 rE[0,4] S...
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