please use completely
simplified exact values only, thank you.
please use completely simplified exact values only, thank you. 7. Evaluate F. dr if fr F(x,...
please use completely
simplified exact values only, thank you.
8. Evaluate # F. dS if F(x, y, z) = (2x + 24 + xy, z tanh-lz - y - y?, zy+ x +y In sy 2 and S is the boundary of the solid enclosed by the graphs of x = 0, =y?, z=1, and X = 1. # F. dS simply implies that the S is a closed surface, which does not change the question, as you already knew...
Provide a clear and organized presentation. Show all of your
work. Present completely simplified exact answers only. Any
solution that involves work that resembles that of integration by
integration tables will immediately earn a zero
Evaluate AF F. dr using the fundamental theorem for line integrals, if Z -1 F(x, y, = { to tan z + ln xyz + 4x’y_z2 + 1 + x2' 2 1 tan y + 2x4yz2 + - y² + sec8 y tanº y, y...
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...
please show all work
Use Stokes' Theorem to evaluate Sc F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyl +22+ 4yk, C is the curve of intersection of the plane X + 2 = 10 and the cylinder x2 + y2 - 36.
Use Stoke's Theorem to evaluate ScF. dr, where F(x, y, z) = -xzzi + y2zj + zºk and C is the curve of intersection of the planez = 1 – X – Y and the cylinder x2 + y2 = 1, oriented counterclockwise as viewed from above.
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
Evaluate the integral ∮CF⋅dr for F=(5x2y)i+(2x2−5xy2)j on the
curve C consisting of the x-axis from x=0 to x=3, the arc of the
circle x2+y2=9 up to the line y=x, and the
line y=xdown to the origin. ∮CF⋅dr=
Evaluate the integral h. F . dr for F = (5x2 y)i + (2x2-5yj on the curve C consisting of the x-axis from x=0 tox-3, the arc of the circle x2 + y2-9 up to the line y=x, and the line y=xdown to...
(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) - x2yi +1x3j+xyk and C is the curve of intersection of the hyperbolic paraboloid z - y2 - x2 and the cylinder x2 + y2 - 1 oriented counterclockwise as 3 viewed from above (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface 1.0 1.0 0.5 у0,5 0.0 0,0 1.0 1.0 0.5 0.5 0.0...
Use Stokes' Theorem to evaluate / F. dr, where F = -7y’i + 7x'j + 2zk and C is the intersection of the cylinder x2 + y2 = 1 and the plane 1x + 4y + z = 9 (oriented counterclockwise as seen from above). [F.dr =
Let F(x, y, z) be the gradient vector field of f(x, y, z) = exyz , let C be the curve of the intersection of the plane y + z = 2 and the cylinder x2 + y2 = 1, oriented counterclockwise, evaluate Sc F. dr. OT O -TT O None of the above. 00