Calculate the circulation of the field F around the closed curve C. F = -(1/2)(x2)y i - (1/2)xy22 j; curve C is r(t) = 4 cos t i + 4 sin t j, 0 ≤ t ≤ 2π
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
good evening.
i need help with this calculus question.
i will thumbs up your answer.
Let C be the closed curve defined by r(t) = cos ti+ sin tj + sin 2tk for 0 <t<27. (a) [5 pts) Show that this curve C lies on the surface s defined by 2 = 2xry. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral s F. dr where F(x, y, z) = (y2 + cos z)i + (sin y +22)j...
Could you solve this problem? realted to vector field
calculus
Find the circulation of the vector field P(ar, y)i +Q(x, y)j F(ar,y) where 2-y P(x, y) = 9x2 + (y - 2)2 -2 y 9r2 + (y+ 2)?'| Q(x, y) = 9r2 + (y- 2)? * 9xr2 + (y + 2)2' around the simple closed curve C = Ci U C2, where C1 is the path along the line y = x from (-3, -3) to (3,3), and C2 is...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
PLEASE SHOW ALL WORK AND EXPLAIN BOTH PARTS.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. F. dr (b) (20 pts] By using Stokes' Theorem, evaluate the line integral| " where F(t,y,z) = (y2 + cos z)i + (sin y+z)j + tk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. (b) [20 pts] By using Stokes’ Theorem, evaluate the line integral| vi F. dr where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
Find the circulation of F = xi +8zj + 3yk around the closed path consisting of the following three curves traversed in the direction of increasing t. (0,1,5 Cq:8/(t) = (cos t)i + (sin t)j + tk, Ostsa/2 Cz: r(t) = 1 + (1/2)(1 – t)k, Osts1 Cz. 13(t) = ti + (1 -t)j, Osts1 (1,0,0)
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) [5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral F. dr с where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
c. Let F : R³ → R³ be a vector field on R, given by the following function F(x, y, 2) = (x2)i + (y2)J + (xy)k. Calculate the flux of the field across the surface of the hemisphere, : [0, 1] × [0, 2x] → R³, where parametrized by the following function Þ(r, 0) = (r cos 0)i + (r sin 0) + (1 – 1²)!/2 k.
Q1: 4pnts Evaluate the following integrals along the given curve C. (a) (32) ds. C : The section of the parabola y = x2 from the origin to the point (3,9) (b) yds,C:2 4 with y 20 0S152 (c) / C:x=cos t, y = sin t, z = t, ysin z ds, 0 t〈2π C : x e-t cos t, y = e-t sin t, z = e-t,
Q1: 4pnts Evaluate the following integrals along the given curve C. (a)...