Problem #2: Д eн (curl F) n dS where Use Stokes' Theorem (in reverse) to evaluate...
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...
Use Stokes' Theorem (in reverse) to evaluate Sf (curl F). n ds where F = 5yzi + 9x j +2yze+'k ,S is the portion of the paraboloid z = x2 + aby2 for 0 sz s 3, and the unit normal on S points away from the z-axis. 16 Enter your answer symbolically, as in these examples
. 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:...
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 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
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
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:...
Evaluate Z Z S curl(F) · dS where F(x, y, z) = (x^ 3 , −z ^3y ^3 , 2x − 4y) and S is the portion of the paraboloid z = x ^2 + y^ 2 − 3 below the plane z = 1 with orientation in the negative z-axis direction.
Use Stokes' Theorem to evaluate sta curl F. ds. F(x, y, z) = xyzi + xyj + x2yzk, S consists of the top and four sides (but not the bottom of the cube with vertices (+3, +3, +3), oriented outward. Need Help? Read It Watch It Talk to a Tutor Submit Answer 33. [-/2.5 Points] DETAILS SCALC8 16.8.018. MY NOTES ASK YOUR Evaluate le (y + 5 sin(x)) dx + (z2 + 3 cos(y)) dy + x3 dz where C...