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Use Stokes' Theorem (in reverse) to evaluate Sf (curl F). n ds where F = 5yzi...
Problem #9: Use Stokes' Theorem (in reverse) to evaluate Sf (curl F). n ds where F...
Problem #9: Use Stokes' Theorem (in reverse) to evaluate Sf (curl F). n ds where F = 7yzi + 9x j +6yzet k ,S is the portion of the paraboloid z = 36 x? normal on S points away from the z-axis. + for 0 sz s 4, and the unit 64. -3648*pi Enter your answer symbolically, as in these examples Problem #9: -36481 Just Save Submit Problem #9 for Grading Problem #9 Attempt #1 Attempt #2 Attempt #3 Attempt...
Problem #2: Д eн (curl F) n dS where Use Stokes' Theorem (in reverse) to evaluate...
Problem #2: Д eн (curl F) n dS where Use Stokes' Theorem (in reverse) to evaluate 10yze normal on S points away from the z-axis k ,S is the portion of the paraboloid 7yzi Зxј F for 0 s z s 2, and the unit + Z = 16 + 64 = Enter your answer symbolically, as in these examples Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Problem #2 Attempt 1 Attempt #2 Attempt...
. Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x +...
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Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x + 52)i + (6x + y)j + (7y - -)k and C is the curve of intersection of the plane x + 3y += = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8: Just Save Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your Answer: Your Mark:...
PLease simplify your answer at the end and make sure they are not still in integral....
PLease simplify your answer at the end and make sure they are
not still in integral.
Use Stokes' Theorem (in reverse) to evaluate Sf (curl F) • nas where F = 5yzi + 9x j +2yze+ k ,S is the portion of the paraboloid z = fax? + y2 for 0 s z s 3, and the unit normal on S points away from the z-axis. Enter your answer symbolically, as in these examples
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i +...
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i + y2 + xyk, S is the part of the paraboloid z = upward. - x2 - y2 that lies above the xy-plane, oriented
Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = zeli + x cos(y)j...
Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = zeli + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y2 + z2 = 4, y 2 0, oriented in the direction of the positive y-axis.
Please show work Page 1 10. Use Stokes Theorem to evaluate S. curl F. ds F...
Please show work
Page 1 10. Use Stokes Theorem to evaluate S. curl F. ds F = (x, y, z) = z² i + 2xj + y2k, S:z = 1 - x2 - y2, z 20
(curl F) n dS Use Stokes' Theorem to calculate 8) F-5yi - 6xj + 2z^k; C: the portion of the plane 6x + 7y + 4z -6 in the first quadrant A) B) 0 C) -11 D) 7 (curl F) n dS Use Stokes' Theo...
(curl F) n dS Use Stokes' Theorem to calculate 8) F-5yi - 6xj + 2z^k; C: the portion of the plane 6x + 7y + 4z -6 in the first quadrant A) B) 0 C) -11 D) 7
(curl F) n dS Use Stokes' Theorem to calculate 8) F-5yi - 6xj + 2z^k; C: the portion of the plane 6x + 7y + 4z -6 in the first quadrant A) B) 0 C) -11 D) 7
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x,...
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x, y, z) = xyzi + 3xyj + 2x2yzk and S consists of the top and the four sides (but not the bottom) of the cube with vertices (+2, +2, +2), oriented outward. Since the box is oriented outwards the boundary curve must be transversed when viewed from the top. A parametrization for the boundary curve C seen below from above can be given by:...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that li...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
Problem #9: Use Stokes' Theorem (in reverse) to evaluate Sf (curl F). n ds where F = 7yzi + 9x j +6yzet k ,S is the portion of the paraboloid z = 36 x? normal on S points away from the z-axis. + for 0 sz s 4, and the unit 64. -3648*pi Enter your answer symbolically, as in these examples Problem #9: -36481 Just Save Submit Problem #9 for Grading Problem #9 Attempt #1 Attempt #2 Attempt #3 Attempt...
Problem #2: Д eн (curl F) n dS where Use Stokes' Theorem (in reverse) to evaluate 10yze normal on S points away from the z-axis k ,S is the portion of the paraboloid 7yzi Зxј F for 0 s z s 2, and the unit + Z = 16 + 64 = Enter your answer symbolically, as in these examples Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Problem #2 Attempt 1 Attempt #2 Attempt...
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Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x + 52)i + (6x + y)j + (7y - -)k and C is the curve of intersection of the plane x + 3y += = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8: Just Save Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your Answer: Your Mark:...
PLease simplify your answer at the end and make sure they are
not still in integral.
Use Stokes' Theorem (in reverse) to evaluate Sf (curl F) • nas where F = 5yzi + 9x j +2yze+ k ,S is the portion of the paraboloid z = fax? + y2 for 0 s z s 3, and the unit normal on S points away from the z-axis. Enter your answer symbolically, as in these examples
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i + y2 + xyk, S is the part of the paraboloid z = upward. - x2 - y2 that lies above the xy-plane, oriented
Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = zeli + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y2 + z2 = 4, y 2 0, oriented in the direction of the positive y-axis.
Please show work
Page 1 10. Use Stokes Theorem to evaluate S. curl F. ds F = (x, y, z) = z² i + 2xj + y2k, S:z = 1 - x2 - y2, z 20
(curl F) n dS Use Stokes' Theorem to calculate 8) F-5yi - 6xj + 2z^k; C: the portion of the plane 6x + 7y + 4z -6 in the first quadrant A) B) 0 C) -11 D) 7
(curl F) n dS Use Stokes' Theorem to calculate 8) F-5yi - 6xj + 2z^k; C: the portion of the plane 6x + 7y + 4z -6 in the first quadrant A) B) 0 C) -11 D) 7
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x, y, z) = xyzi + 3xyj + 2x2yzk and S consists of the top and the four sides (but not the bottom) of the cube with vertices (+2, +2, +2), oriented outward. Since the box is oriented outwards the boundary curve must be transversed when viewed from the top. A parametrization for the boundary curve C seen below from above can be given by:...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
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