option B) is correct
y = 9 (x^2 + z^2)
x = s cos t
z = s sin t
x^2 + z^2 = s^2
y = 9 s^2
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 1 S is the surface y2 36(2+22 A suitable parametric representation of the surface S is: yE(0,6] obtained by rotating the function y 60 about the y-axis for yE[0,6]. _ A (s,e) scos0i+6s2j+ssin0k, 0<s<1, 0<e<2r B T(s,0)scosei+ssin@j+6s2k, 0s1, 0e<2m C Ts, scosei+ssin0j+6sk, 0s1, 0<e<2n (s,0) 6s22+scosej+ssin0k, 0<s<1, 0<0<2 O D OE T(s,) 6st+scosGjssin6k, 0s1, 0<e<2T F T(s,e) scos01+6sj+ssin0k, 0<s<1, 0<0< 2T None of these OG
Question 8 (1 mark) Attempt 1 S is the surface...
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]. 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...
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)...
te tt 9 Let S be the surface defined by r2 y-22= 1 and 0 15 points by the normal direction toward the z-axis. Find the flux of the velocity field V 1and oriented (z2-ry2)i+(2.2y -yz2)j+ (y2z- 2r2)k across S Solution. To use Gauss Theorem, define C and C2 such that C1 {(a, y, z ) | a + y? < 2, z = 1} C2={(r,y,)| +y1.0} 11 TALK X W P S ww F6 & # 2 3 4...
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...
Please make it simple and
clear to understand
G. S is the surface 4(a2 +22),y e (0,2 obtained by rotating the function y 2z about the y-axis for y є 10, 2]. Given the vector field: E-(112+ 12x)i + (10y3 + 14yzjj + (12c-lla)k. Calculate the outward flux of E through surface S. That is find
G. S is the surface 4(a2 +22),y e (0,2 obtained by rotating the function y 2z about the y-axis for y є 10, 2]....
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...
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...
Solution needed! Tnx
S is the surface y2=16(2+z2), y E[0,4] obtained by rotating the function y- 4 about the y-axis for y E[0,4]. Given the vector field: E=(10z+12x)+(5y3+17yz)j+(12z-10x)k, Calculate the outward flux of E through surface S. That is find J=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 =
S is the surface y2=16(2+z2), y E[0,4] obtained...