MATH 204 Lecture 14: cross-product

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

(1 point) Let A(T) J (b) Find the soiution of the differential equation dy/dr that satisfies y 0when 1 (C Find Jt tidi (c) Find tldt

Problem 6 A) For each vector field, identify its picture from those given below F(x,y) = x2 i+y2 j F(x.yjacos(x)i + siayj ー F(x,y)sin(x)i + yj 40---25 50 25 5 50 1//ぃぃぃ 、\\\ \ u l l B) Let F(x,y,z) (x)it (r)jt ㈣kbe a vector field in R, Find the work done by Fin moving an object along the path C given by r(r)kfor 0 s t s L C) If F were a conservative vector field, what would be the work done in moving the object around the circular path given by s()cos+sin(r)j+2k from i-0 to2x?