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Evaluate the line integral Sc Fodr where C is given by the vector function (EJ=<t2, to,...
Evaluate the line integral ∫C.F·dr, where C is given by the vector function r(t).
Evaluate the line integral ∫C.F·dr, where C is given by the vector function r(t).F(x, y, z) = sin(x) i + cos(y) j + xz k r(t) = t3 i- t3j + tk, 0 ≤ t ≤ 1 .
Evaluate the line integral ∫ F *dr where C is given by the vector function r(t)....
Evaluate the line integral ∫ F *dr
where C is given by the vector function
r(t).
F(x, y, z) =
(x + y2) i +
xz j + (y + z)
k,
r(t) =
t2i +
t3j − 2t
k, 0 ≤ t ≤ 2
9. Evaluate the “vector valued” line integral 1.Podr Fodr where F(x, y, z) = (x, y,...
9. Evaluate the “vector valued” line integral 1.Podr Fodr where F(x, y, z) = (x, y, zy) TT and C is given by r(t) = (sint, cost, t), with N » 4. u sta
Evaluate & Fodr, where F(x, y, z) = (y² -2 2,5x) and C: 714) =<t", t,...
Evaluate & Fodr, where F(x, y, z) = (y² -2 2,5x) and C: 714) =<t", t, -tº), -15ts 1.
2. Determine whether there is a potential function for the vector field V= <yz, xz, xy>....
2. Determine whether there is a potential function for the vector field V= <yz, xz, xy>. You may use any legitimate method but you must justify your claim. If it there is a potential function, then find it and use it to evaluate the line integral ſ v.dr along the curve r(t) = <V7,4-4,6+1>ifor Osts 4. [10] 4. Suppose S is the surface z= x² + 4y’, lying beneath the plane z=1. Orient S by taking the inner normal n...
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
Question 26 1 pts Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the given...
Question 26 1 pts Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the given integral. Let F = < yz, xz, xy). Find the work done by this force field on an object moving from (1,1,1) to (4,4,4). O 54 57 60 o oo 63
7. Evaluate the circulation integral [/s<= x F) .nds where F(x, y, z) = (x +...
7. Evaluate the circulation integral [/s<= x F) .nds where F(x, y, z) = (x + 3,4+2,2 + y) and S is part of the upper part of the sphere r2 + y2 + 2+ = 25 with 3 <=55(you may use any theorem you find helpful).
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary...
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the...
Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the line segment from (-1,3,0) to (1,4, 1). 63V6 20 Need Help? Read It Talk to a Tutor
Evaluate the line integral ∫ F *dr
where C is given by the vector function
r(t).
F(x, y, z) =
(x + y2) i +
xz j + (y + z)
k,
r(t) =
t2i +
t3j − 2t
k, 0 ≤ t ≤ 2
9. Evaluate the “vector valued” line integral 1.Podr Fodr where F(x, y, z) = (x, y, zy) TT and C is given by r(t) = (sint, cost, t), with N » 4. u sta
Evaluate & Fodr, where F(x, y, z) = (y² -2 2,5x) and C: 714) =<t", t, -tº), -15ts 1.
2. Determine whether there is a potential function for the vector field V= <yz, xz, xy>. You may use any legitimate method but you must justify your claim. If it there is a potential function, then find it and use it to evaluate the line integral ſ v.dr along the curve r(t) = <V7,4-4,6+1>ifor Osts 4. [10] 4. Suppose S is the surface z= x² + 4y’, lying beneath the plane z=1. Orient S by taking the inner normal n...
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
Question 26 1 pts Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the given integral. Let F = < yz, xz, xy). Find the work done by this force field on an object moving from (1,1,1) to (4,4,4). O 54 57 60 o oo 63
7. Evaluate the circulation integral [/s<= x F) .nds where F(x, y, z) = (x + 3,4+2,2 + y) and S is part of the upper part of the sphere r2 + y2 + 2+ = 25 with 3 <=55(you may use any theorem you find helpful).
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the line segment from (-1,3,0) to (1,4, 1). 63V6 20 Need Help? Read It Talk to a Tutor
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