Find the work done by Fequals(x squared plus y )Bold i plus (y squared plus x )Bold j plus z e Superscript z Baseline Bold k over the following paths from (3,0,0) to (3,0,9). An x y z coordinate system has an unlabeled x-axis, an unlabeled y-axis, and an unlabeled z-axis. A path consists of two parts. The first part is a line segment that connects (3, 0, 0) and (0, 0, 0) with movement toward (0, 0, 0). The second part is a curve labeled z equals x squared that is in the x z plane and rises at an increasing rate from (0, 0, 0) to (3, 0, 9) with movement toward (3, 0, 9). z equals x squared y x z (3,0,0) (0,0,0) (3,0,9) a. The line segment xequals3, yequals0, 0less than or equalszless than or equals9 b. The helix Bold r (t )equals (3 Bold cos t )Bold i plus (3 Bold sin t )Bold j plus (StartFraction 9 t Over 2 pi EndFraction )Bold k comma 0 less than or equals t less than or equals 2 pi c. The x-axis from (3,0,0) to (0,0,0) followed by the parabola zequalsx squared, yequals0 from (0,0,0) to (3,0,9)