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:) IS (x+y+z)ds X-1 (b): Find the work done by F over the curve in the...
13. (10 points) (a): Find the line integral of f(x, y, z) = x+y+z over the...
13. (10 points) (a): Find the line integral of f(x, y, z) = x+y+z over the straight-line segment from (1,2,3) to 0,-1,1). (b): Find the work done by F over the curve in the direction of increasing t, where F=< x2 + y, y2 +1, ze>>, r(t) =< cost, sint,t/27 >, 0<t<27.
Find the work done by F over the curve in the direction of increasing t F...
Find the work done by F over the curve in the direction of increasing t F = 4xyi + 2yj – 2yzk r(t) = ti + t'j-tk Osts 1 Type an integer or a simplified fraction
Et F(r, v) (3z2e* + sec z tan z,ze - 90y*). (a) Show that F is a conservative. (b) Find a functio...
et F(r, v) (3z2e* + sec z tan z,ze - 90y*). (a) Show that F is a conservative. (b) Find a function f (potential function) show that F Vf. (c) Use above result to evaluate JeFdr, where C is a smooth curve that begin at the point (2, 1) and ends at (0, 3). (cost, sint) from -2 to t = 줄 particle that moves along the curve. (Write the value of work done without evaluating d) Find the work...
Evaluate Sc f(x,y)ds where is the curve y = x for 0 < x < 1...
Evaluate Sc f(x,y)ds where is the curve y = x for 0 < x < 1 and the surface is f(x,y) = 1 + 9xy Select one: 14 a. 5 O a. V O b. O c. 18 13 O d. 1
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2...
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
Find: 1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3,...
Find:
1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x...
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x - y > S:z = 4 - x2 - y2 and z>0 (9a) Evaluate W= $ Pdx + Qdy + Rdz с (9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R>=<-y+z, x - 2, x - y > S:z = 4 - x2 - y2 and z 20 (9b) Verify Stokes' Theorem.
b- Consider the vector field F(x,y,z)= (3x²y2-3ze, 2xy +2sin z, - 3x02 + 2ycos z). (a)...
b- Consider the vector field F(x,y,z)= (3x²y2-3ze, 2xy +2sin z, - 3x02 + 2ycos z). (a) if f(x,y,z) = axºy2+be*2 + cysin z then a =......, (b) Use the fundamental theorem of LINE INTEGRAL to evaluate Y = SF-di along the curve defined by the parametrization F(t)= (1, sint, t-T) for Osts. Y = ...... b Choose... Y = Choose.... Choose... Choose...
Calculate the work done by the vector field F(x,y)=4xy, 2x2 along a smooth, simple curve from...
Calculate the work done by the vector field F(x,y)=4xy,
2x2
along a smooth, simple curve from point (3, −1) to point (4, 2)
We were unable to transcribe this imageWe were unable to transcribe this image
(7) Green's Theorem for Work in the Plane F(x, y) =< M, N >=< x, y2...
(7) Green's Theorem for Work in the Plane F(x, y) =< M, N >=< x, y2 > C: CCW once about y = vw and y = x W = | <M,N><dx,dy>= | Mdx + Ndy CZ CZ (70) Parametrize the path Cy: along the curve y = vw from (1,1) to (0,0) in terms of t. (70) Use this parametrization to find the work done. (7e) Confirm Green's Theorem for Work. (7) Green's Theorem for Work in the Plane...
13. (10 points) (a): Find the line integral of f(x, y, z) = x+y+z over the straight-line segment from (1,2,3) to 0,-1,1). (b): Find the work done by F over the curve in the direction of increasing t, where F=< x2 + y, y2 +1, ze>>, r(t) =< cost, sint,t/27 >, 0<t<27.
Find the work done by F over the curve in the direction of increasing t F = 4xyi + 2yj – 2yzk r(t) = ti + t'j-tk Osts 1 Type an integer or a simplified fraction
et F(r, v) (3z2e* + sec z tan z,ze - 90y*). (a) Show that F is a conservative. (b) Find a function f (potential function) show that F Vf. (c) Use above result to evaluate JeFdr, where C is a smooth curve that begin at the point (2, 1) and ends at (0, 3). (cost, sint) from -2 to t = 줄 particle that moves along the curve. (Write the value of work done without evaluating d) Find the work...
Evaluate Sc f(x,y)ds where is the curve y = x for 0 < x < 1 and the surface is f(x,y) = 1 + 9xy Select one: 14 a. 5 O a. V O b. O c. 18 13 O d. 1
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
Find:
1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x - y > S:z = 4 - x2 - y2 and z>0 (9a) Evaluate W= $ Pdx + Qdy + Rdz с (9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R>=<-y+z, x - 2, x - y > S:z = 4 - x2 - y2 and z 20 (9b) Verify Stokes' Theorem.
b- Consider the vector field F(x,y,z)= (3x²y2-3ze, 2xy +2sin z, - 3x02 + 2ycos z). (a) if f(x,y,z) = axºy2+be*2 + cysin z then a =......, (b) Use the fundamental theorem of LINE INTEGRAL to evaluate Y = SF-di along the curve defined by the parametrization F(t)= (1, sint, t-T) for Osts. Y = ...... b Choose... Y = Choose.... Choose... Choose...
Calculate the work done by the vector field F(x,y)=4xy,
2x2
along a smooth, simple curve from point (3, −1) to point (4, 2)
We were unable to transcribe this imageWe were unable to transcribe this image
(7) Green's Theorem for Work in the Plane F(x, y) =< M, N >=< x, y2 > C: CCW once about y = vw and y = x W = | <M,N><dx,dy>= | Mdx + Ndy CZ CZ (70) Parametrize the path Cy: along the curve y = vw from (1,1) to (0,0) in terms of t. (70) Use this parametrization to find the work done. (7e) Confirm Green's Theorem for Work. (7) Green's Theorem for Work in the Plane...
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