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?
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 f...
please help with parts b and c! I do not understand how to find F. Thank you! 7. Find the line integral of F-(6x2-6x) i +6z j + k from (0,0,0) to (1,1,1) over each of the following paths in the accompanying figure. b.C2: r(t)-ti+12 j+14 k, 0sts1 c. C3UC4: the path 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) a. The line integral of F over C1 is b. The...
Find the line integral of F = (3x^2-7x) i +7z j + k from (0,0,0) to (1,1,1) over each of the following paths in the accompanying figure. a. C1: r(t) = t i + t j + t k, b: C2: r(t) = t i +t^2 j + t^4 k, c: C3C4: the path 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) We were unable to transcribe this imageWe were unable...
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)
Find the work done by force F=2√zi-4xj+4√yk, from (0,0,0) to (1,1,1) over each of the following paths.
What is the value of ScF. Tds, where F(x, y, z) = y² i + 2xzj + 6xk and C is the straight-line segment r(t) = ti + tj + tk, 0 <t<1 from (0,0,0) to (1,1,1)?
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...
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
Question 5. Let F = (xy+z) i - yj + xk. Find the work done moving an object along the twisted cubic r = 2ti+tj - tk, 0<t<1. (a) Write the integral in terms of t (4 points) (b) Evaluate the integral (2 points)
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z + 3x)j + (2y + 2x)k. a) Find a function f such that F = Vf and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral / F. dr. (1 point) Verify that F = V and evaluate the line integral of F over the given path: F =...
(1) Integrate f(x, y,z)+Vy - z2 over the straight line segment path from (0,0,0) to (1,1,1) (2) Consider the field F (2xyz+2,x2z, x2y), (a) (b) (c) Show that the field is conservative. Find a potential function for the field. Find the work the field does on an object that follows the path consisting of the line segment from (0,0,0) to (1,2,2), followed by the line segment from (1,2,2) to (2,4,3) Find the work done by the field ß-(x, 3y,-5z) along...