Find the work done by F over the curve in the direction of increasing t F...
:) IS (x+y+z)ds X-1 (b): Find the work done by F over the curve in the direction of increasing t, where F =< x² + y, y2 + 1, ze >, r(t) =< cost, sint,t/27 >, Osts 27. y-2=2-3 =+ C) -1-2 I-3
a. The line integral of F over the straight-line path C1 is 3 (Type an integer or a simplified fraction) Find the line integrals of F-yi + 3xj +2zkhom (0.0.0) to (1.1.1) over each of the following paths a. The straight-ine path Ct rt)-ti+j+ tk, 0sts1 ь. The curved path C2 r(t)-ti+t2jtt4k.0sts1 c. The path C3UC consisting of the line segment from (0,0.0) to (1,1,0) followed by the segment from (1.1,0) to (1,1,1 10 b. The line integral of F...
F = 2xy + 4y + 5k is the velocitly field of a fuld flowing through a region in space. Find the flow along the given curve r(t)t +fPj+k, Osts in the direction of increasing t. The flow is (Type a simplified fraction.)
Find the total work done on an object that traverses the twisted cubic C: r(t) = ti + t2j+tk, te[-1, 1] bergantung kepada satu daya subject to a force F(x,y,z) = xyi + yzj + xzk
Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the... Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the following paths. C1 =ti +tj +tk, C2 =ti + t2j + t4k, and C3∪C4 c1=7/6 c2=-1/5 what is c3uc4?
(1) 8ketch the graph of r(t) and show the direction of increasing t 2:r, c) r(t) -3costí + 3 sin tj + tk; d) a) r(t).-ti+3, b) r(t)-< 2cos t, 5 sin t >, О r(t)- ti+ t2j + 2k t Describe the graph of r(t) 3 cos ti+5sin tj+4 cos tk
(1) 8ketch the graph of r(t) and show the direction of increasing t 2:r, c) r(t) -3costí + 3 sin tj + tk; d) a) r(t).-ti+3, b) r(t)-,...
Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each of the following paths. a. The straight-line path Cy: r(t) = ti + tj + tk, Osts 1 b. The curved path Cz: r(t) = Osts1 c. The path C, UC, consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1) (0,0,0) (1.1.1)
13. (10 points) (a): Find the line integral of f(x, y, z) = x+y+z over the straight-line segment from (1,2,3) to 0,-1,1). (b): Find the work done by F over the curve in the direction of increasing t, where F=< x2 + y, y2 +1, ze>>, r(t) =< cost, sint,t/27 >, 0<t<27.
Find the flow F = -v1 + x + 3 along the given curve in the direction of increasing t Osts 2n1.r(t)=(-2 cos(t))7 +(2 sin(t))] + 2+ K TO 4 TL Does not exist خرم علی سے علی به ما را
Find the work done by the force F = direction). -7yi + 10x j along one loop of the curve r = sin 30 (in the positive Enter your answer symbolically, as in these examples