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Multinlechnice aestions may continue on 1 1 of 1 4 page - find all choices 002...
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z,...
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z, -xy, y² where is the intersection of the cylinder 3 x2 + y2 = 4 and plane y + z = 3 oriented counter clockwise as shown in Figure 1. y+z=3 Figure 1
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem Let C be the curve of intersec...
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem Let C be the curve of intersection of x y 4 and x2yv), oriented in the clockwise sense as viewed from the origin. Evaluate y,z, x) dr -167
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the...
15. (1 point) Let C be the intersection curve of the surfaces z = 3x +...
15. (1 point) Let C be the intersection curve of the surfaces z = 3x + 5 and x2 + 2y2-1, oriented clockwise as seen from the origin. Let F(x, y, 2) (2z - 1)i +2xj+(-1)k. Compute F.dr (a) directly as a line integral AND (b) as a double integral by using Stokes' Theorem
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly,...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
need 1-5 Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from...
need 1-5
Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from A(-1,3,9) to B(1,6,-4). a) Show that F is conservative. b) Find a function φ such that ▽φ = F c) Use the result of b) to find Ic F Tds 2. Let F(z, y)-(2), and let C be the boundary of the square with vertices (1, 1). (-1,1). (-1,-1 traced out in the counter-clockwise direction. Find Jc...
Consider the unit cube with vertices (corner points) (0, 0, 0), (0, 1, 0), (1, 0, 0), (1, 1, 0), (0, 0, 1), (0, 1, 1), (...
Consider the unit cube with vertices (corner points) (0, 0, 0),
(0, 1, 0), (1, 0, 0), (1, 1, 0), (0, 0, 1), (0, 1, 1), (1, 0, 1),
(1, 1, 1). Let S be the boundary of the cube minus (i.e. not
including) the bottom square (the side which lies in the xy plane).
Orient S with the normal which points out of the cube. Let F =
<− y , x , y^2e^x . Evaluate (curl F) ·...
Please explain (1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the sur...
Please explain
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x 4 and -2 < y < 2, oriented upward. Sketch both S and its boundary C 16 - x2 for Fdr = Circulation =
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x...
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y plane, oriented counter-clockwise. Find Jscurl(F) ndS directly and by using Stokes&#...
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y plane, oriented counter-clockwise. Find Jscurl(F) ndS directly and by using Stokes' Theorem. , where S is the up
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y...
(a) Find the flux of the vector field F=yi-xjtk across the surface σ which is 4. x2 +y2 and below z the portion of z 4 and is oriented by the outward normal. _t7г (b) Use Stokes' Theorem to ev...
(a) Find the flux of the vector field F=yi-xjtk across the surface σ which is 4. x2 +y2 and below z the portion of z 4 and is oriented by the outward normal. _t7г (b) Use Stokes' Theorem to evaluate the line integral of J F.dr of F--уз ì_x3 j+(x+z)k where C is the clockwise path along the triangle with vertices (0,0,0). (1.0,0)and (1.i.o) aong the thiangle with(i) t)
(a) Find the flux of the vector field F=yi-xjtk across the...
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z, -xy, y² where is the intersection of the cylinder 3 x2 + y2 = 4 and plane y + z = 3 oriented counter clockwise as shown in Figure 1. y+z=3 Figure 1
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem Let C be the curve of intersection of x y 4 and x2yv), oriented in the clockwise sense as viewed from the origin. Evaluate y,z, x) dr -167
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the...
15. (1 point) Let C be the intersection curve of the surfaces z = 3x + 5 and x2 + 2y2-1, oriented clockwise as seen from the origin. Let F(x, y, 2) (2z - 1)i +2xj+(-1)k. Compute F.dr (a) directly as a line integral AND (b) as a double integral by using Stokes' Theorem
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
need 1-5
Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from A(-1,3,9) to B(1,6,-4). a) Show that F is conservative. b) Find a function φ such that ▽φ = F c) Use the result of b) to find Ic F Tds 2. Let F(z, y)-(2), and let C be the boundary of the square with vertices (1, 1). (-1,1). (-1,-1 traced out in the counter-clockwise direction. Find Jc...
Consider the unit cube with vertices (corner points) (0, 0, 0),
(0, 1, 0), (1, 0, 0), (1, 1, 0), (0, 0, 1), (0, 1, 1), (1, 0, 1),
(1, 1, 1). Let S be the boundary of the cube minus (i.e. not
including) the bottom square (the side which lies in the xy plane).
Orient S with the normal which points out of the cube. Let F =
<− y , x , y^2e^x . Evaluate (curl F) ·...
Please explain
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x 4 and -2 < y < 2, oriented upward. Sketch both S and its boundary C 16 - x2 for Fdr = Circulation =
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x...
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y plane, oriented counter-clockwise. Find Jscurl(F) ndS directly and by using Stokes' Theorem. , where S is the up
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y...
(a) Find the flux of the vector field F=yi-xjtk across the surface σ which is 4. x2 +y2 and below z the portion of z 4 and is oriented by the outward normal. _t7г (b) Use Stokes' Theorem to evaluate the line integral of J F.dr of F--уз ì_x3 j+(x+z)k where C is the clockwise path along the triangle with vertices (0,0,0). (1.0,0)and (1.i.o) aong the thiangle with(i) t)
(a) Find the flux of the vector field F=yi-xjtk across the...
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