Line
is the same for each parametric representation of C.
(i)
(ii)
Want to see the full answer?
Check out a sample textbook solutionChapter 15 Solutions
Calculus
- Example Let F = xy? i+ xy j be a vector field in 2-space. Evaluate $. xy? dx + xy? dy where C is the boundary of the triangle with vertices (0,2),(3,2), and (3,5). (3,5) y+2 (0,2) (3,2) y=2 Example Let C be the curve sketched below and F(x,y, 2) = 3xy i+ 3zj+ 5x R. The straight line on the xy-plane is given by the equation 2x + 3y = 6 and the curve on the yz-plane has an equation of z= 4- y?. Find S. F dř. (00.4) (02,0) (3,0,0), 2x+3y=6arrow_forward#12arrow_forwardD part onlyarrow_forward
- U (x, y) 4c(y + 1)i + xyj, and V(x, y) = Consider two vector fields in the xy plane, given in the Cartesian coordinates as: cyi - xj, where c is a constant. Find where in the xy plane the vectors of these two fields are parallel to one another, and where they are mutually orthogonal. =arrow_forwardCould you answer the question attached please?arrow_forwardCal 3arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning