MATH-3110 Lecture 1: 1.2 row reduction and Gaussian elimination

Evaluate the line integral F.dr, where C is given by the vector function r(t) F(x, y, z) =xi+yj+xy k, r(t) = sin(t) i + cos(t) j + t k, 0 t π

(1 point) if C is the curve parameterized by r () = (1+ 4 sin ) i + ( + 5 sin2 t) j + ( i + 5 sin3 t) k, for 0 field F (x, y, z) = xi + yj + zk, compute the work done by F on a particle moving along C. That is, compute IS 즐, and F is the radial vector F dr

(1 point) lf C is the curve given by r (t) = (1 + 5 sin ) i + (1 + 1 sin*) j + (1 + 3 sin*) k, 0 t $ and F is the radial vector field F(x, y, z) = xi + yj + zk, compute the work done by F on a particle moving along C.